SOLUTION: The perimeter of a rectangle is 32 cm. The length of one side is 8 cm longer than the second side. What is the length of the longer side? I desperately need help.

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Question 377238: The perimeter of a rectangle is 32 cm. The length of one side is 8 cm longer than the second side. What is the length of the longer side?
I desperately need help.
Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website!
The perimeter of a rectangle is 32 cm. The length of one side is 8 cm longer than the second side.
What is the length of the longer side?
:
Write the standard perimeter equation
2L + 2W = 32
:
It says,"The length of one side is 8 cm longer than the second side."
L = W + 8
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In the perimeter equation we can replace L with (W+8)
2(W+8) + 2W = 32
2W + 16 + 2W = 32
2W + 2W = 32 - 16
4W = 16
W =
W = 4 cm is the 2nd side
:
What is the length of the longer side
we know L = W + 8
L = 4 + 8
L = 12 cm is the longer side
:
:
Check our values in the perimeter equation
2(12) + 2(4) = 32
24 + 8 = 32, confirms our answers