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The length of a rectangle is 11 in. longer than its width. The perimeter of the rectangle is 86 in.

Write and solve an equation to determine the rectangle's length. Explain each step you perform.

WILL GIVE BRAINLIEST
30 POINTS

Respuesta :

Let the width = x then length = x + 11 inches


Perimeter of a rectangle = 2*width + 2*length so we have the equation:-

( letting P = perimeter , L = length and W = width)

P = 2L + 2W

86 = 2(x + 11)) + 2x

86 = 4x + 22

4x = 86-22 = 64


x = 64 / 4 = 16 inches


Therefore the length of the rectangle = 16 + x


= 16 + 11 = 27 inches Answer

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