Answer:
Step-by-step explanation:
Let the length of the playground is L and width is W.
Perimeter = 2 (L + W)
1080 = 2 (L + W)
L + W = 540 ... (1)
Area, A = L x W
A = L (540 - L)
A = 540 L - L²
differentiate with respect to L.
dA / dL = 540 - 2 L
Put it equal to zero for maxima and minima
540 - 2L = 0
L = 270 feet
W = 540 - 270 = 270 feet
