SOLUTION: The area of a rectangle is 36 square inches. The perimeter of the rectangle is 36 inches. Find the dimensions of the rectangle.

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Question 404844: The area of a rectangle is 36 square inches. The perimeter of the rectangle is 36 inches. Find the dimensions of the rectangle.
Answer by Tatiana_Stebko(1539) About Me  (Show Source):
You can put this solution on YOUR website!
The area of a rectangle is S=L%2AW, when L is the length, W is the width, so L%2AW=36
The perimeter af a rectangle is P=2%2A%28L%2BW%29, so 2%2A%28L%2BW%29=36, L%2BW=18
So, the system of equations
L%2AW=36
L%2BW=18 From the second equation W=18-L, put it in the first equation
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L%2A%2818-L%29=36
18L-L%5E2=36
L%5E2-18L%2B36=0
L+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
L+=+%28-%28-18%29+%2B-+sqrt%28+%28-18%29%5E2-4%2A1%2A36+%29%29%2F%282%2A1%29+
L+=+%2818+%2B-+sqrt%28+180%29%29%2F2+
L1+=9+%2B15sqrt%28+0.2%29=15.7 or L2=9-15sqrt%280.2%29=2.3
W1=18-%289%2B15sqrt%280.2%29%29=9-15sqrt%280.2%29=2.3 or W2=18-%289-15sqrt%280.2%29%29=9%2B15sqrt%280.2%29=15.7
Answer 15.7inches and 2.3inches
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Are you sure that numbers in your problem is correct?The area of a rectangle is 36 square inches. The perimeter of the rectangle is 36 inches.