Question

preimage
image
scale factor = 3
4 in
a = 32 in²
?
given the area, what is the length of the missing side in the image?
24 in
8 in
18 in
96 in

Explanation:

Step1: Find preimage's other side

The preimage is a rectangle with area \( A = 32\ \text{in}^2 \) and one side \( 4\ \text{in} \). Using \( A=\text{length}\times\text{width} \), the other side \( w=\frac{32}{4}=8\ \text{in} \).

Step2: Apply scale factor to the side

The scale factor is \( 3 \), so the missing side in the image is \( 8\times3 = 24\ \text{in} \).

Answer:

24 in