let L be length
let W be width
given:
A = 100m²
if the length of a swimming pool is 8m longer than its width
L = W + 8
Formula:
Area = L x W
solution:
100 = L x W
100 = (W + 8) (W)
100 = W² + 8W
100 + 4² = W² + 8W + 4² ( using completing the square )
116 = (W + 4)²
√116=√(W+4)²
2√29=W+4
W = 2√29 - 4
W = 6.77
L = 6.77 + 8
L = 14.77 m
