Name: ___________________________
Period: ___________
Date: ________________________
Pre-AP: HW
Scale Factor Effect on Perimeter
1. Ms. May’s rectangular classroom is proportional to
the rectangular band hall. The band hall is twice as
long as Ms. May’s classroom.
If the perimeter of the band hall is 180 feet, what is
the perimeter of Ms. May’s classroom?
A.
B.
C.
D.
80 ft
90 ft
100 ft
120 ft
2. Mr. Fairchild wants to add a playroom and a
bedroom to his house. The 2 rooms will be
proportional, but the bedroom’s dimensions will be
only 1/3 as large as the playroom.
If the perimeter of the place mat is 60 inches, the
perimeter of the napkin is ---A. 20 in
B. 30 in
C. 40 in
D. 50 in
5. Greg has a rectangular picture with a perimeter of 26
centimeters. He wants to make a proportional
enlargement of the picture that has dimensions 3
times the size of the original. The perimeter of the
enlargement will be--A. 52 cm
B. 64 cm
C. 72 cm
D. 78 cm
6. The diagram shows 2 rectangular note cards that are
If the perimeter of the bedroom is 50 feet, the
perimeter of the playroom will be –
A.
B.
C.
D.
4. A rectangular place mat and matching napkin are
proportional. The dimensions of the place mat are
1.5 times as large as the napkin’s dimensions.
proportional. The larger card is 1.25 times as wide
and as long as the smaller card.
100 ft
120 ft
150 ft
200 ft
3. Two similar figures have lengths in the ratio of
Give the ratios of their perimeters.
Perimeter Ratios: _______________
7
.
4
If the perimeter of the smaller card is 20 inches,
what is the perimeter of the larger card?
A.
B.
C.
D.
22 in
25 in
27 in
30 in
7. The length and width of a rectangle are doubled.
12. Rectangle ABCD is similar to rectangle FGHJ.
A
What effect does this have on
perimeter?
B
F
G
J
3 H
15
C
D
a.) If the perimeter of rectangle FGHJ is 16 cm, what
is the length of side FJ ?
8. A right triangle has a perimeter of 24 centimeters.
The length of each side is increased to 4 times its
original length. What is the perimeter of the larger
triangle?
A.
B.
C.
D.
82 cm
64 cm
96 cm
98 cm
13. Figure A was dilated to form figure B by a scale
factor of 1/3. What was the original perimeter of
figure A?
9. Todd is trying to determine the cost of buying new
carpet in his living room. Carpet is sold by the
square foot.
Which is the best formula for Todd to use to find the
cost of the carpet for his rectangular living room?
A.
B.
C.
D.
Perimeter of a rectangle
Area of a rectangle
Volume of a rectangular prism
Pythagorean Theorem
10. What scale factor is implied by these terms?
Term
b.) What is the perimeter of rectangle ABCD?
Scale Factor
Halved
B
A
14. Rectangle B was dilated by a scale factor of 3 to
form rectangle A.
A
B
a.) What is the perimeter of rectangle B?
Doubled
Tripled
Twice the size
11. Triangle ABC and triangle RST are similar. The
dimensions of triangle RST are halved to create
triangle ABC. If triangle ABC has a perimeter of 36
cm, what is the perimeter of triangle RST?
b.) What are the dimensions of rectangle B?
15. Derrick has a small square garden with a perimeter
of 20 ft. and an area of 25 square ft. He wants to
triple the dimensions of his garden next year. What
will be the new perimeter of his larger garden?
Rectangles ABCD and A’B’C’D’ are shown on the
coordinate plane with the center of dilation at the
origin, O.
21. Determine the ordered pairs for each of the
vertices of A’B’C’D’.
A’: ________________
B’: ________________
C’: ________________
D’: ________________
22. What is the perimeter of rectangle ABCD?
23. What is the perimeter of rectangle A’B’C’D’?
16. Use the grid to determine the measure of each side
of rectangle ABCD.
17. Use the grid to determine the measure of each side
of rectangle A’B’C’D’.
18. Determine the scale factor used to create rectangle
A’B’C’D’.
19. If A’B’C’D’ is dilated to form  ABCD,
determine the scale factor.
20. Determine the ordered pairs for each of the
vertices of ABCD.
A: ________________
B: ________________
C: ________________
D: ________________
24. What is the ratio of the perimeter of rectangle
ABCD to rectangle A’B’C’D’?
1
25. Each side of a red triangle is as long as the
4
corresponding side in a similar, black triangle. The
perimeter of the black triangle is 24 cm. What is
the perimeter of the red triangle?
26. The flower below has a perimeter of 42 in. A scale
9
factor of was used to enlarge the figure. What is
5
the perimeter of the new figure?