SOLUTION: perimeter of a traffic sign is 100 inches, its length is 8 inches longer than its width, find the dimensions of this sign. Please show me the steps and not just the answer. Tha

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Question 662382: perimeter of a traffic sign is 100 inches, its length is 8 inches longer than its width, find the dimensions of this sign.
Please show me the steps and not just the answer.
Thanks
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

given:
perimeter of a traffic sign is P=100in,
its length L is 8in longer than its width W,=>..L=W%2B8in
...so, your traffic sign is a rectangle
and P=2%28L%2BW%29

and 100in=2%28L%2BW%29 ........plug in L=W%2B8in and solve for W

100in=2%28W%2B8in%2BW%29

cross%28100%2950in=cross%282%29%28W%2B8in%2BW%29

50in=2W%2B8in

50in-8in=2W

42in=2W

42in%2F2=W

highlight%28W=21in%29

now find L

L=W%2B8in...plug in W=21in

L=21in%2B8in

highlight%28L=29in%29