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The length of a rectangle is 8 more than triple the width. If the perimeter is 160 inches find the dimensions.

User Mattshane
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1 Answer

6 votes

Answer:

w = 18; l = 62

Explanation:

The formula for perimeter of a rectangle is P = 2l + 2w, where l represents length and w represents width

We know that the length can be found using the equation l = 3w + 8

Plugging this in for l in the original formula for perimeter gives us 160 = 2 * (3w + 8) + 2w

160 = 6w + 16 + 2w

160 = 8w + 16

144 = 8w

18 = w

Plugging 18 in for the second equation gives us 3 * 18 = 54 + 8 = 62 = l

User AmanSharma
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