keerahslifestyle keerahslifestyle

18-10-2021
Mathematics

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The length of a rectangle is 7 less than twice its width. if the perimeter of the rectangle is 43.6 inches, what is the area of the rectangle in square inches?

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kierstenkite4 kierstenkite4

18-10-2021

Answer: 117.12 square units

Step-by-step explanation:

W = 2L - 7

Perimeter = 2(W + L) which gives you

43.6 = 2 ( 2L - 7 + L )

43.6 = 2 (3L - 7)

43.6 = 6L -14 add 14 to both sides

57.6 = 6L divide both sides by 6

9.6 = L

W = 2(9.6) - 7 = 12.2

Area = L x W (9.6) (12.2) = 117.12 square units

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