SOLUTION: Find a rectangle which has a perimeter equal to 100cm and an area equal to 200 square cm

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Question 985619: Find a rectangle which has a perimeter equal to 100cm and an area equal to 200 square cm
Answer by solver91311(24713) About Me  (Show Source):
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The perimeter of a rectangle is twice the length plus twice the width. Therefore, the sum of the length and the width is half the perimeter.



So:



Since the area of a rectangle is the length times the width, we can say:



If the area must be 200, then:



Solve the quadratic for , then calculate .

Use the quadratic formula because the quadratic equation does not factor.

John

My calculator said it, I believe it, that settles it