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Scale Factors w/ Perimeter, Area

Total questions: 14

Worksheet time: 9mins

Name
Class
Date
1.

The original perimeter of a rectangle is 30cm, if we enlarge it by a scale factor of 4 what is the new perimeter?

a)

120

b)

480

c)

1920

2.

If the perimeter of a rectangle was 20in and now it is is 80in, what is the scale factor that was used?

a)

4

b)

2

c)

40

d)

20

3.

If both dimensions of a rectangle are doubled, then which of the following statements about its perimeter will be true?

a)

The new perimeter will be 3 times the old perimeter.

b)

The new perimeter will be double the old perimeter.

c)

The new perimeter will be 4 times the old perimeter.

d)

The new perimeter will be 1/2 the old perimeter.

4.

If a square's side lengths are halved (scale factor of 1/2 is used), then which of the following statements about its area will be true?

a)

The ratio of the old area to the new area will be 1/8

b)

The ratio of the old area to the new area will be 1/2.

c)

The ratio of the old area to the new area will be 1/4.

d)

The ratio of the old area to the new area will be 4/1.

5.

If a circle's radius is quadrupled (factor of 4), then which of the following statements about its area will be true?

a)

The new area will be 16 times the old area.

b)

The new area will be 8 times of the old area.

c)

The new area will be 64 times the old area.

d)

The new area will be 4 times the old area.

6.

If a square's side lengths enlarged by a SF of 2, then which of the following statements about its area will be true?

a)

The new area will be 4 times the old area.

b)

The new area will be 16 times the old area.

c)

The new area will be 1/4 of the old area.

d)

The new area will be 2 times the old area.

7.

If a parallelogram is reduced by a SF of 1/3, then which of the following statements about its area will be true?

a)

The new area will be the same as the old area.

b)

The new area will be

9 times the old area.

c)

The new area will be 1/9 of the old area.

d)

The new area will be

3 times the old area.

8.

If a cube is enlarged by a SF of 2 then which of the following statements about its volume will be true?

a)

The new volume will be 12 times the old volume.

b)

The new volume will be 8 times the old volume

c)

The new volume will be 4 times the old volume.

d)

The new volume will be 5 times the old volume

9.

If a triangle is enlarged by a scale factor of 3/2, then which of the following statements about its perimeter will be true?

a)

The new perimeter will be 3/2 times the old perimeter.

b)

The new perimeter will be 1/2 of the old perimeter.

c)

The new perimeter will be 3 times the old perimeter

d)

The new perimeter will be 4 times the old perimeter

10.

If a square's side lengths are doubled, then which of the following statements about its area will be true?

a)

The new area will be 4 times the old area.

b)

The new area will be 16 times the old area.

c)

The new area will be 1/4 of the old area.

d)

The new area will be 2 times the old area.

11.

A rectangle that is 2 inches by 3 inches has been scaled by a factor of 7

 

What is the perimeter of the scaled copy?

a)

35 in

b)

10 in

c)

70 in

d)

490in

12.
Amanda made a scale drawing of a square garden, which has a side length of 25 feet. She used the scale 2 inches = 5 feet.

What will be the area of the scale drawing?
a)
10 in²
b)
25 in²
c)
100 in²
d)
484 in²
13.

A rectangle has the dimensions 4cm by 5cm. A scale factor of 3 is used to enlarge the rectangle. What is the new area?

a)

20 cm2

b)

60 cm2

c)

180 cm2

d)

100 cm2

14.

A rectangle that is 2 inches by 3 inches has been scaled by a factor of 7

 What is the area of the scaled copy?

a)

20 sq in

b)

42 sq in

c)

49 sq in

d)

294 sq in