Question

Stacy put a fence around a rectangular flower bed with a length of 18ft and a width of 4.5 ft. Next, he enclosed a square flower bed that had the same area. What number fo feet of fence did he need to enclose the entire square flower bed?

Answer 1

36 feet

Explanation:

Let us first find the area of the of the flower bed. It is a rectangle, so:

A = 18 * 4.5 = 81 square feet

The square flower bed has the same area, therefore, the length of the sides of the flower bed can be gotten. The area of a square is:

`A = L^2`

`81 = L^2\\\\L = √(81)`

L = 9 feet

Next, we need to find the perimeter of the square flower bed:

P = 4L

=> P = 4 * 9 = 36 feet

He needed 36 feet of fence to enclose the entire square flower bed.