Question 313406
P = 2L + 2W

2L = 3w + 5

130 = 3w + 5 + 2w

130 = 5w + 5

130 - 5 = 5w

125 = 5w

125/5 = w

25 = w

We now replace w in the equation 2L = 3w + 5 with 25 and solve for L.

2L = 3(25) + 5

2L = 75 + 5

2L = 80

L = 80/2

L = 40

The width is 25 and the length is 40.

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The Proof:

130 = 2(40) + 2(25)

130 = 80 + 50

130 = 130...It checks!!!

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I received your reply. Sorry for the typo.  The length is always longer than the width of a rectangle.  So, the length = 40 and width = 25.