The length of a rectangle in five times its width. If the perimeter of the rectangle is 96 cm, find its area

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asked Apr 3, 2019 8.6k views

1 Answer

Sara · Answer 1 · 2019-04-08T08:15:08+0000

Translating this word problem into symbolic statements: L = 5W, P=2W+2L= 96 cm

Then 96 cm = 2W + 2(5W) = 12W. Solving for W, W = 96 cm / 12 = 8 cm

Width = 8 cm
Length = 5(8 cm) = 40 cm

Area = L * W = (40 cm)(8 cm) = 320 cm^2

The length of a rectangle in five times its width. If the perimeter of the rectangle is 96 cm, find its area

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