The length of a rectangle is 8 inches more than three times the width. the perimeter is 88 inches. find the length and width.

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12-04-2018
Mathematics

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The length of a rectangle is 8 inches more than three times the width. the perimeter is 88 inches. find the length and width.

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tatothetree tatothetree · Answer 1 · 2018-04-14T06:56:06+02:00

We can say L as length and W as the width

L= 3w + 8

The formula for perimeter is 2L + 2W = P. We can substitute L in as "3w+8" to make the equation...

2(3w+8)+2w=88 Now, we can simplify by distributing the 2 to each term
6w+16+2w=88
8w+16=88 Then subtract 16 from each side..
8w=72
w=9

So the width is 9, so we can substitue that into the previous equation, L = 3w+8.

L=3(9)+8
L=27+8
L=35, W=9