Answer: 48 sq. cm
Step-by-step explanation:
The area of the similar shapes is similar.
We use scalar factor to get the area of the bigger or the smaller figure by using the area of the given figure.
In the given figure , Area of the small pentagon = 32 sq. cm
Scale factor for the bigger pentagon = 1.5
Then , the area of the bigger pentagon would be = (Scale factor) x (Area of the small pentagon)
= 1.5 x (32 sq. cm)
= 48 sq. cm
Hence, the area of the larger pentagon = 48 sq. cm
