Objective 4: Measurement
8.10A: The student describes how changes in dimensions affect linear, area, and
volume measures. The student is expected to describe the resulting effects on
perimeter and area when dimensions of a shape are changed proportionally.
(Supporting)
1. Rectangle STUV is similar to rectangle LMNO.
If the area of rectangle STUV is 72 square units, what is the area of rectangle LMNO?
F
G
H
J
2.
36 units2
24 units2
18 units2
12 units2
Parallelogram VWXY is similar to parallelogram ABCD.
V
6 units
W
A
D
Y
4 units
B
C
X
If the area of parallelogram ABCD is 12 square units, what is the area of rectangle VWXY?
A 4.5 units2
B 18 units2
C 24.5 units2
D 27 units2
1
Objective 4: Measurement
Squares A and B are similar.
3.
B
A
x
5
x
2
If the area of square A is 25 cm2,
what is the area of square B?
5.
A
7.5 cm2
B
62.5 cm2
C
156.25 cm2
D
390.625 cm2
4.
The Smith family has outgrown
their 3-foot by 5-foot rectangular
table. Mrs. Smith insists that she
wants to find a rectangular table
with double the dimensions of their
current table. How will the area of
her new tabletop compare to the
area of the tabletop on her current
table?
A The new tabletop will have the
same area.
B The new tabletop will have
twice as much area.
C The new tabletop will have three
times as much area.
D The new tabletop will have four
times as much area.
Farmer Brown’s rectangular garden
has a perimeter of 30 feet. What
will the perimeter measure if he
decides to increase both the length
and width by 50%?
A 15 feet
B 37.5 feet
C 45 feet
D 60 feet
2
Objective 4: Measurement
6.
The dimensions of rectangle B are
proportional to the dimensions of
rectangle A.
Rectangle
A
Rectangle B
If the perimeter of rectangle B is 4
times the perimeter of rectangle A,
which statement is true?
A The length and width of
rectangle B are the same as the
length and width of rectangle A.
B The length and width of
rectangle B are twice the length
and width of rectangle A.
C The length and width of
rectangle B are 3 times the
length and width of rectangle A.
D The length and width of
rectangle B are 4 times the
length and width of rectangle A.
3
Objective 4: Measurement
7. Triangle ABC is similar to Triangle DEF. If Triangle ABC has an area of 27 square inches,
what is the area of Triangle DEF?
B
E
A
C
6 in.
A
27 square inches
B
12 square inches
C
6 square inches
D
3 square inches
D
2 in.
F
8. The Johnson’s are expanding their fence. If they double both the length and the width
of their fence, what will happen to the area of their yard?
A
The area will stay the same.
B
The area will double.
C
The area will triple.
D
The area will quadruple.
4
Objective 4: Measurement
9. Mrs. Samples’ class is enlarging the border on their class bulletin board. If they triple
the width and height of the bulletin board, how much more border would they need to go around
their new bulletin board?
A
20 feet
B
40 feet
C
60 feet
D
80 feet
4 feet
6 feet
10. Explain what happens to the area of a shape if you enlarge it by a scale factor of 3.
5