Answers

2014-06-11T18:38:07+08:00
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
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