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the length of a rectangle is 2 inches less than 3 times it width . The perimeter of the rectangle is 124 inch. WHat is the length of the rectangle

1 Answer

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Explanation:

let w = width

length = 3w-2

perimeter = 2*length + 2*width

perimeter = 2(3w-2) + 2w

perimeter = 6w - 4 + 2w

perimeter = 8w - 4

perimeter = 124 inch

8w - 4 = 124inch

+4 to each side

8w = 128inch

divide each side by 8

w = 16

length = 3w-2

= 3(16) - 2

length = 46 inch

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