Question

Rectangle ABCD is shown on the coordinate grid below. (8.10D)2IT2-2+If ABCD is dilated by a scale factor of įto produce rectangle PQRS, what is theperimeter of PQRS?

Answer 1

The four sides of the rectangle added together gives the perimeter.

The length of the sides is the following.

AD = 4, AB = 5, BC = 4, CD = 5.

After dilation by 1/2 each of the lengths above is multiplied by this factor; therefore, the lengths of the resulting rectangle is

A'D' = 4/2 = 2

A'B' = 5/2 = 2.5

B'C' = 4/2 = 2

C'D' = 5/2 =2.5

Hence, the perimeter of PQRS = A'B'C'D is

2 + 2.5 + 2 + 2.5 = 9