Let's make W = width, and L = length. What do we know? We know that P = 40 yards, and L = W + 1.5 . The formulas for perimeter and area are: P = 2W+2L A = W*L
We can set P to 40, and since L = W+1.5, we can substitute that in for L. 40 = 2W + 2 (W+1.5) 40 = 2W + 2W + 3 37 = 4W W = 37/4
We can plug that into L to find the length. L = W + 1.5 L = 37/4 + 3/2 L = 43/4
Now, we plug into the area formula! A = L*W A = 43/4 * 37/4 A = 1591/16 or 99.43 yd^2
