The perimeter of a rectangular playground is 40 yards. It is 1 1/2 yards longer than it is wide. What is the area of the playground?

The solution to the problem is shown below:

Perimeter = 40 yards

Wide = W = ?

Length = W + 1.5 yards

The formula for the perimeter of a rectangular playground:

P=2 (L+W) where "L" is for the length and "W" is for the Width

40 = 2 ((W+1.5) + W)

40 = 2 (2W+1.5)

40/2=2W + 1.5

20 - 1.5 = 2W

W=9.25

L=9.25 + 1.5 = 10.75

Area is L x W

Area = 9.25 x 10.75

Area = 102.125 squard unit