SOLUTION: the area of a rectangle is 315 square meters. If the perimeter is 72 meters, find the length and width of the rectangle.

Algebra ->  Rectangles -> SOLUTION: the area of a rectangle is 315 square meters. If the perimeter is 72 meters, find the length and width of the rectangle.      Log On


   

Question 755438: the area of a rectangle is 315 square meters. If the perimeter is 72 meters, find the length and width of the rectangle.
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


From the formula for the perimeter we derive:



or



Multiplying length times width to get area:



Put the quadratic into standard form, factor, and solve. The two roots will actually be the two dimensions, and by convention you would generally assign the smaller one to the designation "width".

John

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