SOLUTION: .the area of a square bookcase is 21 more than the perimeter. find the length of a side

Question 63560: .the area of a square bookcase is 21 more than the perimeter. find the length of a side
Answer by joyofmath(189) (Show Source): You can put this solution on YOUR website!
.the area of a square bookcase is 21 more than the perimeter. find the length of a side
Let L = the side of the bookcase.
Let P = the perimeter of the bookcase.
Let A = the area of the bookcase.
Then, we know that:

So, .
But, P=4L so .
So, .
Or, .
This factors to .
So, or .
The length can't be negative so .
Let's verify the answer.
If then and .
So, A is indeed 21 more than P.
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