The rectangle shown in dilated by a scale factor of 1/2.
(a) calculate the length of each side of the dilated image.
(b) draw the new image and level it a’b’c’d’.

Part A) The length of each side of the dilated image are

A'B'=7.5 cm

B'D'==4 cm

Part B) The draw in the attached figure

Step-by-step explanation:

Part A)

we know that

If the scale factor is less than 1, then the dilation is a reduction

In this problem

The scale factor is equal to 1/2

so

The dilation is a reduction

To calculate the dimensions of the dilated image, multiply the original dimensions by the scale factor

so

A'B'=AB(1/2)=15(1/2)=7.5 cm

B'D'=BD(1/2)=8(1/2)=4 cm

Part B)

using a graphing tool

The draw in the attached figure