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: Find scale - factor for length

The original length is 5 inches and the new length is 20 inches. The scale - factor formula for length is $\text{Scale Factor}=\frac{\text{New Length}}{\text{Original Length}}$. So, $\frac{20}{5}=4$.

Step2: Find scale - factor for width

The original width is 8 inches and the new width is 32 inches. Using the scale - factor formula for width $\text{Scale Factor}=\frac{\text{New Width}}{\text{Original Width}}$, we get $\frac{32}{8}=4$.

Answer:

A. 4