SOLUTION: The area of a square is numerically equal to its perimeter. Find the length of each side of the square.

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Question 212044This question is from textbook Beginning and Intermediate Algebra
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The area of a square is numerically equal to its perimeter. Find the length of each side of the square. This question is from textbook Beginning and Intermediate Algebra

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Let the side of the square be s.
A+=+s%5E2 and...
P+=+2%28s%2Bs%29 but...
A+=+P so...
s%5E2+=+2%282s%29 Simplify.
s%5E2+=+4s Divide both sides by s.
s+=+4
The length of each side is 4.
Check:
A+=+s%5E2
A+=+4%5E2
A+=+16
P+=+2%28s%2Bs%29
P+=+2%284%2B4%29
P+=+2%288%29
P+=+16