SOLUTION: the number of inches in the perimeter of a square is 3 more than the number of square inches in its area. find the length of a side.

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Question 547553: the number of inches in the perimeter of a square is 3 more than the number of square inches in its area. find the length of a side.
Answer by KMST(5328)   (Show Source): You can put this solution on YOUR website!
If the length of a side (in inches) is ,
the perimeter of the square (in inches) is ,
and the area (in square inches) is .
The wording says that is 3 more than .
That means <--> <--> , which gives you two solutions: and .
A square of side 1 inch has an area of 1 square inch and a perimeter of 4 inches, with 4 being 3 more than 1.
A square of side 3 inches has an area of 9 square inch and a perimeter of 12 inches, with 12 being 3 more than 9.
If you graph and , you find that they cross at two points.

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