Question

1. polygon b is a scaled copy of polygon a, shown here. suppose the shortest side of polygon b is 13.5 units. a what is the scale factor that takes polygon a to polygon b? b what is the length of the longest side of polygon b?

Explanation:

Step1: Find shortest side of Polygon A

The shortest side of Polygon A is 1 unit.

Step2: Calculate scale - factor

Scale factor = $\frac{\text{side of Polygon B}}{\text{side of Polygon A}}=\frac{13.5}{1}=13.5$

Step3: Find longest side of Polygon A

The longest side of Polygon A is 6 units.

Step4: Calculate longest side of Polygon B

Length of longest side of Polygon B = $13.5\times6 = 81$ units

Answer:

a. 13.5
b. 81 units