Question

1. when a rectangle measuring 5 inches by 8 inches is enlarged to 20 inches by 32 inches, what is the scale factor?

a. 4
b. 5
c. 3
d. 2

Explanation:

Step1: Recall scale - factor formula

The scale factor is the ratio of the corresponding side lengths of the enlarged and original figures.

Step2: Calculate scale factor for one side

Let's take the length of the sides. The original length is 5 inches and the new length is 20 inches. The scale factor $k=\frac{\text{new length}}{\text{original length}}=\frac{20}{5} = 4$.

Step3: Check with the other side

The original width is 8 inches and the new width is 32 inches. The scale factor $k=\frac{\text{new width}}{\text{original width}}=\frac{32}{8}=4$.

Answer:

A. 4