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Dimensional Changes to Perimeter and Area

Total questions: 11

Worksheet time: 33mins

Name
Class
Date
1.

The perimeter of a rectangle is 38 inches. What is the new perimeter if the length and width are tripled?

a)

38 inches

b)

76 inches

c)

114 inches

d)

351 inches

2.

The area of a trapezoid is 512 square feet. What is the new area if the dimension of the trapezoid is reduced by half?

a)

16 cm²

b)

120 cm²

c)

128 cm²

d)

136 cm²

3.

The perimeter of a kite is 32 centimeters, and its area is 48 square centimeters. Both diagonals of the kite are enlarged 4 times. Part A: What is the new perimeter of the kite?

a)

32 cm

b)

64 cm

c)

8 cm

d)

128 cm

4.

The perimeter of a kite is 32 centimeters, and its area is 48 square centimeters. Both diagonals of the kite are enlarged 4 times. Part B: What is the new area of the kite?

a)

96 cm²

b)

768 cm²

c)

384 cm²

d)

192 cm²

5.

The area of a regular polygon is 270 ft². If the apothem is reduced by one third, which TWO statements accurately describe the effects of this change?

a)

A. The change will reduce the area by one third.

b)

B. The change will reduce the perimeter by one third.

c)

C. The change has no effect on the perimeter.

d)

D. The change will reduce the area by one fourth.

e)

E. The change will reduce the area by one ninth.

6.

Polygon A is similar to polygon B. If polygon A has an area of 1,088 cm² and polygon B has an area of 68 cm², how many times larger is polygon A than polygon B?

a)

Polygon A is three times larger than polygon B.

b)

Polygon A is nine times larger than polygon B.

c)

Polygon A is four times larger than polygon B.

d)

Polygon A is sixteen times larger than polygon B.

7.

Similar polygons are ______.

a)

the same shape and size

b)

the same shape but not necessarily the same size

8.

The polygons in each pair are similar . Find the scale factor of the smaller to the larger figure .

a)

23\frac{2}{3}

b)

27\frac{2}{7}

c)

67\frac{6}{7}

d)

59\frac{5}{9}

9.

The polygons in each pair are similar . Find the value of x .

a)

3232

b)

22

c)

88

d)

1616

10.

The polygons in each pair are similar . Find the value of x .

a)

1212

b)

120120

c)

14

d)

33

11.

Triangle SQV is dilated to create triangle MNP. Use the properties of similar figures to determine

the lengths of QV and NP.

a)

QV = 18 , NP = 6

b)

QV = 21 , NP = 7

c)

QV = 15 , NP = 5

d)

QV = 36 , NP = 12