Answer:
The area of rectangle A'B'C'D' is 64 square feet
Explanation:
step 1
Find the scale factor
we know that
If two figures are similar, then the ratio of its corresponding sides is equal to the scale factor
Let
z ----> the scale factor
x ----> the width of rectangle A'B'C'D' in feet
y ----> the width of rectangle ABCD in feet
so

we have

substitute the values

Simplify

step 2
Find the area of rectangle A'B'C'D'
we know that
If two figures are similar, then the ratio of its areas is equal to the scale factor squared
Let
z ----> the scale factor
x ----> the area of rectangle A'B'C'D' in square feet
y ----> the area of rectangle ABCD in square feet
so

we have


substitute the values

solve for x

