SOLUTION: The perimeter of a rectangle is known to be 88 feet and the area is 363 square feet. Find the dimensions of the rectangle. I need to know how to set this problem up in order to fin

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Question 361782: The perimeter of a rectangle is known to be 88 feet and the area is 363 square feet. Find the dimensions of the rectangle. I need to know how to set this problem up in order to find the answer.
Found 2 solutions by Fombitz, solver91311:
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
The perimeter of a rectangle is,

1.
The area of a rectangle is,

2.
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


The area of a rectangle is the length times the width.

The perimeter of a rectangle is 2 times the length plus 2 times the width.

Let's use the area formula to develop an expression for length in terms of the width:





Now substitute into the Perimeter formula:



Now multiply through by w:



Put the quadratic in standard form and divide by 2:



Solve for . One root will be the width and the other the length.


John

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