SOLUTION: Will you help me with this problem: A square and a rectangle have the same perimeter. The lenghth of the rectangle is 4cm less than twice the side of the square,and the width of t

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Question 166264: Will you help me with this problem:
A square and a rectangle have the same perimeter. The lenghth of the rectangle is 4cm less than twice the side of the square,and the width of the rectangle is 6cm less than the side of the square. Find the perimeter of each figure.
Answer by scott8148(5891) (Show Source):
You can put this solution on YOUR website!
"A square and a rectangle have the same perimeter" __ 4S=2L+2W

"The lenghth of the rectangle is 4cm less than twice the side of the square" __ L=2S-4

"the width of the rectangle is 6cm less than the side of the square" __ W=S-6

substituting __ 4S=2(2S-4)+2(S-6) __ 4S=4S-8+2S-12 __ 4S=6S-20 __ 20=2S __ 10=S

so the perimeter is 4*10 or 40