Question 322580:
If the perimeter of a rectangle is 104 inches and the length is 24 inches longer than the width, what is the length of the rectangle?
Answer by jessica43(140)   (Show Source):
You can put this solution on YOUR website! To solve this problem you need to use the given information to write two equations and then solve.
First, you know that a rectangle has 4 sides with each of the opposite sides having the same length, and the total perimeter is 104 inches. So:
W+W+L+L = 104 (with W=width and L= length)
or 2W + 2L = 104
Secondly, we know that the length is 24 inches longer than the width, so:
L = W + 24
Now you can plug the second equation into the first equation, replacing the L value:
2W + 2L = 104
2W + 2(W + 24) = 104
2W + 2W + 48 = 104
4W + 48 = 104
4W = 56
W = 14
Now plug this into the second equation to find the length:
L = W + 24
L = 14 + 24
L = 38
So the length of the rectangle is 38 inches.
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