Christy S.

asked • 11/30/16

What are the length and width of a rectangular traffic sign if the length exceeds the width by 15 inches and the perimeter is 146 ​inches?

i cant figure it out.

1 Expert Answer

By:

Gene G. answered • 11/30/16

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Write equations from what you know:
 
Length exceeds width by 15 inches.
L = W+15
 
Perimeter is (equal to) 146 inches
2(L+W) =146
 
This is a system of equations.  Since we know L in terms of W, substitute W+15 for L in the second equation.
2(W+15+W) = 146
2(2W+15) = 146
4W+30 = 146
4W = 116
W = 29
 
L = W+15
L = 29+15 = 44
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