Name: ________________________ Class: ___________________ Date: __________
ID: A
Chapter 13 Practice Test
____
1. Jack plants a vegetable garden. The garden is in the shape of a rectangle.
He wants to put fencing around the entire garden.
How much fencing does Jack need?
A.
B.
C.
D.
____
72 feet
44 feet
40 feet
22 feet
2. Ian hung a mirror on the wall.
What is the perimeter of the mirror?
A.
B.
C.
D.
22 cm
36 cm
44 cm
52 cm
1
Name: ________________________
____
ID: A
3. Mindy puts a rectangular poster of her favorite singer on a wall in her
bedroom.
What is the perimeter of the poster?
A.
B.
C.
D.
____
100 inches
70 inches
60 inches
50 inches
4. Armando is tiling the top of his kitchen table. Each tile that he is using
measures 9 inches along each side. What is the perimeter of a tile?
A.
B.
C.
D.
9 inches
18 inches
36 inches
81 inches
5. Maria wants to make wooden frames for two drawings. One drawing
measures 8 inches along each side. The other drawing has a length of 6
inches and a width of 10 inches. Maria claims that she needs the same
amount of wood for each frame. Do you agree or disagree with Maria’s
claim? Support your answer with measurements from the problem.
____
6. Oscar is cutting a piece of glass that is 3 feet long on each side. What is
the area of the glass?
A.
B.
C.
D.
12 square feet
9 square feet
6 square feet
3 square feet
2
Name: ________________________
____
ID: A
7. Hiro painted a mural with the dimensions shown.
What is the area of Hiro’s mural?
A.
B.
C.
D.
____
4 square feet
16 square feet
32 square feet
60 square feet
8. Sherry made this arrangement of tiles as part of her art project.
Which of the following is true?
A.
B.
C.
D.
____
area = 11 square units
area = 14 square units
area = 18 square units
area = 22 square units
9. Laura bought a square canvas to paint a picture of her cat. One side
measures 22 centimeters. What is the area of the canvas?
A.
B.
C.
D.
44 square centimeters
88 square centimeters
440 square centimeters
484 square centimeters
10. Andre bought some fencing to enclose a new vegetable garden. He can
enclose a 16-feet by 16-feet area, a 2-feet by 30-feet area, or a 14-feet by
18-feet area. How should he arrange the fencing to give him the greatest
area in his garden? Support your answer using information in the problem.
3
Name: ________________________
ID: A
____ 11. Mr. Benson built a play area for his children and an office for himself.
How much carpet does he need to cover the floor in both areas?
A.
B.
C.
D.
70 square feet
250 square feet
300 square feet
350 square feet
____ 12. Mrs.Ericson is building a new balcony.
What is the area of Mrs.Ericson’s new balcony?
A.
B.
C.
D.
44 square feet
36 square feet
32 square feet
28 square feet
4
Name: ________________________
ID: A
13. Mr. Adams is planning to build an addition on his house. He needs to write
the total area of the floor in the house with the addition on a building permit
form. What area should Mr. Adams write on the form? Describe two ways
he could have found the area.
____ 14. A rectangle has a perimeter of 50 centimeters. If the width of the rectangle
is 10 centimeters, what is its length?
A.
B.
C.
D.
5 centimeters
15 centimeters
20 centimeters
40 centimeters
____ 15. Kelly wants to enclose a rectangular area for her dog with 240 feet of
fencing. She wants the width to be 20 feet. What will be the length of the
rectangular area?
A.
B.
C.
D.
24 feet
100 feet
110 feet
200 feet
5
Name: ________________________
ID: A
____ 16. The Hernandez family built a backyard patio.
What could be the dimensions of the patio?
A.
B.
C.
D.
100 feet long by 50 feet wide
50 feet long by 25 feet wide
15 feet long by 10 feet wide
10 feet long by 5 feet wide
____ 17. A rectangular window has an area of 144 square inches. The height of the
window is 9 inches. What is the width of the window?
A.
B.
C.
D.
16 inches
20 inches
135 inches
153 inches
18. Jill is making a square quilt with an area of 36 square feet. How much
border will Jill need to sew around the quilt? Explain your answer.
____ 19. Melanie’s blue notebook cover is 20 centimeters by 30 centimeters. She
has a sticker for each letter in her name. Each sticker is a square that
measures 2 centimeters on each side. If she puts all 7 stickers on her
notebook, how much of the blue notebook cover will still be showing?
A.
B.
C.
D.
596 square centimeters
586 square centimeters
572 square centimeters
544 square centimeters
6
Name: ________________________
ID: A
____ 20. Aidan bought a frame for a photograph that he took.
What was the area of the frame that he bought?
A.
B.
C.
D.
80 square inches
120 square inches
160 square inches
240 square inches
21. Diane made a design using only squares. She shaded the inner square
and the outer region.
Find the total area that is shaded. Explain how you found your answer.
7
ID: A
Chapter 13 Practice Test
Answer Section
1. ANS: C
PTS: 1
DIF: average
REF: Lesson 87: Perimeter
OBJ: Use a formula to find the perimeter of a rectangle.
NAT: CC.4.MD.3 Apply the area and perimeter formulas for rectangles in
real world and mathematical problems. For example, find the width of a
rectangular room given the area of the flooring and the length, by viewing
the area formula as a multiplication equation with an unknown factor.
TOP: Solve problems involving measurement and conversion of
measurements from a larger unit to a smaller unit.
KEY: perimeter | length | width
NOT: Measurement and Data
2. ANS: C
PTS: 1
DIF: average
REF: Lesson 87: Perimeter
OBJ: Use a formula to find the perimeter of a rectangle.
NAT: CC.4.MD.3 Apply the area and perimeter formulas for rectangles in
real world and mathematical problems. For example, find the width of a
rectangular room given the area of the flooring and the length, by viewing
the area formula as a multiplication equation with an unknown factor.
TOP: Solve problems involving measurement and conversion of
measurements from a larger unit to a smaller unit.
KEY: perimeter | length | width
NOT: Measurement and Data
3. ANS: A
PTS: 1
DIF: average
REF: Lesson 87: Perimeter
OBJ: Use a formula to find the perimeter of a rectangle.
NAT: CC.4.MD.3 Apply the area and perimeter formulas for rectangles in
real world and mathematical problems. For example, find the width of a
rectangular room given the area of the flooring and the length, by viewing
the area formula as a multiplication equation with an unknown factor.
TOP: Solve problems involving measurement and conversion of
measurements from a larger unit to a smaller unit.
KEY: perimeter | length | width
NOT: Measurement and Data
1
ID: A
4. ANS: C
PTS: 1
DIF: average
REF: Lesson 87: Perimeter
OBJ: Use a formula to find the perimeter of a rectangle.
NAT: CC.4.MD.3 Apply the area and perimeter formulas for rectangles in
real world and mathematical problems. For example, find the width of a
rectangular room given the area of the flooring and the length, by viewing
the area formula as a multiplication equation with an unknown factor.
TOP: Solve problems involving measurement and conversion of
measurements from a larger unit to a smaller unit.
KEY: perimeter | length | width
NOT: Measurement and Data
5. ANS:
I agree with Maria. Possible answer: the amount of wood she needs for
each frame is the same number as the perimeter of the drawing. The
square drawing has a perimeter of 32 inches. The rectangular drawing has
a perimeter of 32 inches, too. So, she needs the same amount of wood for
each frame.
PTS: 1
DIF: average
REF: Lesson 87: Perimeter
OBJ: Use a formula to find the perimeter of a rectangle.
NAT: CC.4.MD.3 Apply the area and perimeter formulas for rectangles in
real world and mathematical problems. For example, find the width of a
rectangular room given the area of the flooring and the length, by viewing
the area formula as a multiplication equation with an unknown factor.
TOP: Solve problems involving measurement and conversion of
measurements from a larger unit to a smaller unit.
KEY: perimeter | length | width
NOT: Measurement and Data
6. ANS: B
PTS: 1
DIF: average
REF: Lesson 88: Area
OBJ: Use a formula to find the area of a rectangle.
NAT: CC.4.MD.3 Apply the area and perimeter formulas for rectangles in
real world and mathematical problems. For example, find the width of a
rectangular room given the area of the flooring and the length, by viewing
the area formula as a multiplication equation with an unknown factor.
TOP: Solve problems involving measurement and conversion of
measurements from a larger unit to a smaller unit.
KEY: area | base | height | formula NOT: Measurement and Data
2
ID: A
7. ANS: D
PTS: 1
DIF: average
REF: Lesson 88: Area
OBJ: Use a formula to find the area of a rectangle.
NAT: CC.4.MD.3 Apply the area and perimeter formulas for rectangles in
real world and mathematical problems. For example, find the width of a
rectangular room given the area of the flooring and the length, by viewing
the area formula as a multiplication equation with an unknown factor.
TOP: Solve problems involving measurement and conversion of
measurements from a larger unit to a smaller unit.
KEY: area | base | height | formula NOT: Measurement and Data
8. ANS: C
PTS: 1
DIF: average
REF: Lesson 88: Area
OBJ: Use a formula to find the area of a rectangle.
NAT: CC.4.MD.3 Apply the area and perimeter formulas for rectangles in
real world and mathematical problems. For example, find the width of a
rectangular room given the area of the flooring and the length, by viewing
the area formula as a multiplication equation with an unknown factor.
TOP: Solve problems involving measurement and conversion of
measurements from a larger unit to a smaller unit.
KEY: area | base | height | formula NOT: Measurement and Data
9. ANS: D
PTS: 1
DIF: average
REF: Lesson 88: Area
OBJ: Use a formula to find the area of a rectangle.
NAT: CC.4.MD.3 Apply the area and perimeter formulas for rectangles in
real world and mathematical problems. For example, find the width of a
rectangular room given the area of the flooring and the length, by viewing
the area formula as a multiplication equation with an unknown factor.
TOP: Solve problems involving measurement and conversion of
measurements from a larger unit to a smaller unit.
KEY: area | base | height | formula NOT: Measurement and Data
3
ID: A
10. ANS:
Andre should arrange the fencing to enclose the 16-feet by 16-feet area
because he will then fence off an area of 256 square feet. If he encloses a
2-feet by 30-feet area he will fence off only 60 square feet. If he encloses a
14-feet by 18-feet area, he fences off 252 square feet, which is less than
256 square feet.
PTS: 1
DIF: average
REF: Lesson 88: Area
OBJ: Use a formula to find the area of a rectangle.
NAT: CC.4.MD.3 Apply the area and perimeter formulas for rectangles in
real world and mathematical problems. For example, find the width of a
rectangular room given the area of the flooring and the length, by viewing
the area formula as a multiplication equation with an unknown factor.
TOP: Solve problems involving measurement and conversion of
measurements from a larger unit to a smaller unit.
KEY: area | base | height | formula NOT: Measurement and Data
11. ANS: B
PTS: 1
DIF: average
REF: Lesson 89: Area of Combined Rectangles
OBJ: Find the area of combined rectangles.
NAT: CC.4.MD.3 Apply the area and perimeter formulas for rectangles in
real world and mathematical problems. For example, find the width of a
rectangular room given the area of the flooring and the length, by viewing
the area formula as a multiplication equation with an unknown factor.
TOP: Solve problems involving measurement and conversion of
measurements from a larger unit to a smaller unit.
NOT: Measurement and Data
12. ANS: C
PTS: 1
DIF: average
REF: Lesson 89: Area of Combined Rectangles
OBJ: Find the area of combined rectangles.
NAT: CC.4.MD.3 Apply the area and perimeter formulas for rectangles in
real world and mathematical problems. For example, find the width of a
rectangular room given the area of the flooring and the length, by viewing
the area formula as a multiplication equation with an unknown factor.
TOP: Solve problems involving measurement and conversion of
measurements from a larger unit to a smaller unit.
NOT: Measurement and Data
4
ID: A
13. ANS:
675 square feet: Mr. Adams could have found the area of the house and
the area of the addition and added the two areas together, or he could
have found the area of a 30-foot by 30-foot square and a 15-foot by 15-foot
square and subtracted the area of the smaller square from the area of the
larger square.
PTS: 1
DIF: average
REF: Lesson 89: Area of Combined Rectangles
OBJ: Find the area of combined rectangles.
NAT: CC.4.MD.3 Apply the area and perimeter formulas for rectangles in
real world and mathematical problems. For example, find the width of a
rectangular room given the area of the flooring and the length, by viewing
the area formula as a multiplication equation with an unknown factor.
TOP: Solve problems involving measurement and conversion of
measurements from a larger unit to a smaller unit.
NOT: Measurement and Data
14. ANS: B
PTS: 1
DIF: average
REF: Lesson 90: Find Unknown Measures
OBJ: Given perimeter or area, find the unknown measure of a side of a
rectangle.
NAT: CC.4.MD.3 Apply the area and perimeter formulas for rectangles in
real world and mathematical problems. For example, find the width of a
rectangular room given the area of the flooring and the length, by viewing
the area formula as a multiplication equation with an unknown factor.
TOP: Solve problems involving measurement and conversion of
measurements from a larger unit to a smaller unit.
NOT: Measurement and Data
15. ANS: B
PTS: 1
DIF: average
REF: Lesson 90: Find Unknown Measures
OBJ: Given perimeter or area, find the unknown measure of a side of a
rectangle.
NAT: CC.4.MD.3 Apply the area and perimeter formulas for rectangles in
real world and mathematical problems. For example, find the width of a
rectangular room given the area of the flooring and the length, by viewing
the area formula as a multiplication equation with an unknown factor.
TOP: Solve problems involving measurement and conversion of
measurements from a larger unit to a smaller unit.
NOT: Measurement and Data
5
ID: A
16. ANS: C
PTS: 1
DIF: average
REF: Lesson 90: Find Unknown Measures
OBJ: Given perimeter or area, find the unknown measure of a side of a
rectangle.
NAT: CC.4.MD.3 Apply the area and perimeter formulas for rectangles in
real world and mathematical problems. For example, find the width of a
rectangular room given the area of the flooring and the length, by viewing
the area formula as a multiplication equation with an unknown factor.
TOP: Solve problems involving measurement and conversion of
measurements from a larger unit to a smaller unit.
NOT: Measurement and Data
17. ANS: A
PTS: 1
DIF: average
REF: Lesson 90: Find Unknown Measures
OBJ: Given perimeter or area, find the unknown measure of a side of a
rectangle.
NAT: CC.4.MD.3 Apply the area and perimeter formulas for rectangles in
real world and mathematical problems. For example, find the width of a
rectangular room given the area of the flooring and the length, by viewing
the area formula as a multiplication equation with an unknown factor.
TOP: Solve problems involving measurement and conversion of
measurements from a larger unit to a smaller unit.
NOT: Measurement and Data
18. ANS:
24 feet of border: Possible explanation: the border will go around the
perimeter of the quilt, so I needed to find the perimeter of a square that has
an area of 36 square feet. I used the area formula for a square to write the
equation 36 = s × s. So, the side length of the square is 6 feet and the
perimeter is 24 feet.
PTS: 1
DIF: average
REF: Lesson 90: Find Unknown Measures
OBJ: Given perimeter or area, find the unknown measure of a side of a
rectangle.
NAT: CC.4.MD.3 Apply the area and perimeter formulas for rectangles in
real world and mathematical problems. For example, find the width of a
rectangular room given the area of the flooring and the length, by viewing
the area formula as a multiplication equation with an unknown factor.
TOP: Solve problems involving measurement and conversion of
measurements from a larger unit to a smaller unit.
NOT: Measurement and Data
6
ID: A
19. ANS: C
PTS: 1
DIF: average
REF: Lesson 91: Problem Solving • Find the Area
OBJ: Use the strategy solve a simpler problem to solve area problems.
NAT: CC.4.MD.3 Apply the area and perimeter formulas for rectangles in
real world and mathematical problems. For example, find the width of a
rectangular room given the area of the flooring and the length, by viewing
the area formula as a multiplication equation with an unknown factor.
TOP: Solve problems involving measurement and conversion of
measurements from a larger unit to a smaller unit.
NOT: Measurement and Data
20. ANS: A
PTS: 1
DIF: average
REF: Lesson 91: Problem Solving • Find the Area
OBJ: Use the strategy solve a simpler problem to solve area problems.
NAT: CC.4.MD.3 Apply the area and perimeter formulas for rectangles in
real world and mathematical problems. For example, find the width of a
rectangular room given the area of the flooring and the length, by viewing
the area formula as a multiplication equation with an unknown factor.
TOP: Solve problems involving measurement and conversion of
measurements from a larger unit to a smaller unit.
NOT: Measurement and Data
21. ANS:
53 square inches; Possible answer: I found the area of the 12-inch square,
which is 144. Then I subtracted the area of the 10-inch square. Finally I
added 9, the area of the 3-inch square.
PTS: 1
DIF: average
REF: Lesson 91: Problem Solving • Find the Area
OBJ: Use the strategy solve a simpler problem to solve area problems.
NAT: CC.4.MD.3 Apply the area and perimeter formulas for rectangles in
real world and mathematical problems. For example, find the width of a
rectangular room given the area of the flooring and the length, by viewing
the area formula as a multiplication equation with an unknown factor.
TOP: Solve problems involving measurement and conversion of
measurements from a larger unit to a smaller unit.
NOT: Measurement and Data
7