17. A preschool has a rectangular field and a rectangular playground that are similar in shape. Each

dimension of the field is 3.2 times the corresponding dimension of the playground. Which statement

is true?

A. The area of the field is 6.4 times the area of the playground.

B. The area of the field is 10.24 times the area of the playground.

C. The perimeter of the field is 6.4 times the perimeter of the playground.

D. The perimeter of the field is 10.24 times the perimeter of the playground.

Question

Thomas Boyer

Social Studies

20 April, 20:37

17. A preschool has a rectangular field and a rectangular playground that are similar in shape. Each

dimension of the field is 3.2 times the corresponding dimension of the playground. Which statement

is true?

A. The area of the field is 6.4 times the area of the playground.

B. The area of the field is 10.24 times the area of the playground.

C. The perimeter of the field is 6.4 times the perimeter of the playground.

D. The perimeter of the field is 10.24 times the perimeter of the playground.

+5

Answers (1)

Know the Answer?

Teagan Ramsey · Answer 1

B. The area of the field is 10.24 times the area of the playground.

Explanation:

First thing to note is that the field and playground are rectangular

Secondly is that the dimension of the field is 3.2 times the corresponding dimension of the playground

Dimension of playground = P

Dimension of field = F = 3.2P

Hence area of rectangle = L x B

Area of the field = (3.2 x 3.2) x Area of playground

Area of field = 10.4 times the area of the playground.