Question

A rectangular shape waiting room has an area 120ft and a perimeter of 44 ft.what are the dimensions?

Answer 1

Answer: W * L = 120

2W + 2L = 44

2W = 44 - 2L

W = 22 - L

(22-L) * L = 120

22L - L² = 120

L² - 22L = -120

L² - 22L + 121 = 121 - 120

(L - 11)² = 1

L - 11 = ±1

L = 11 ± 1

L = 10 or 12

Dimensions: 10 * 12

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