Answer:
The area of pentagon B is

Explanation:
step 1
Find the scale factor
we know that
If two figures are similar, then the ratio of its perimeters is equal to the scale factor
Let
z-----> the scale factor
x----> perimeter pentagon B
y----> perimeter pentagon A

substitute the values

Simplify
----> scale factor
step 2
Find the area of pentagon B
we know that
If two figures are similar, then the ratio of its areas is equal to the scale factor squared
Let
z-----> the scale factor
x----> area pentagon B
y----> area pentagon A

we have


substitute and solve for x



convert to mixed number
