Answer
$29 ft$
Work Step by Step
The area of rectangle A, is $180 ft^2$. 1 side of rectangle A is $20ft$. We can find the other side of rectangle A by dividing the area by the given side
$180/20 = 9 $
The other side is $9ft$. Because this is a rectangle, parallel sides are equal, so the side lengths are $20ft, 9ft, 20ft, 9ft$.
The area of rectangle B is $1/4$ times the area of rectangle A, which means that the sides of Rectangle B measure half the sides of Rectangle A. The sides of Rectangle B must be
$10, 4.5, 10, 4.5$. To get the perimeter, add all sides.
$10 + 4.5 + 10 + 4.5 = 29$