The length of a rectangle is 5 inches more than the width. the perimeter is 38 inches. find the length and the width.

38=2x+2x+10
28=4x
7=x

Width is 7
Length is 12

The formula for perimeter is P=2L+2W (L is length and W is width).

If the length is 5 inches more than the width, that means L=W+5

Now we can just plug that into the formula, so that gives us P=2(W+5)+2W

Simplify that, which equals P=2W+10+2W

Combine like terms: P=4W+10

Since we know the perimeter, let's plug n 38 as P

Now we have 38=4W+10

Subtract 10, giving you 28=4W

Now divide by 4, you get 7=W

So the length is 12 inches and the width is 7 inches

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