The solution to the problem is shown below:
Perimeter = 40 yardsWide = 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 Width40 = 2( (W+1.5) + W )40 = 2(2W+1.5)40/2=2W + 1.520 - 1.5 =2WW=9.25L=9.25 + 1.5 =10.75
Area is L x WArea = 9.25 x 10.75Area = 102.125 squard unit