SOLUTION: Find a rectangle which has a perimeter equal to 100cm and an area equal to 200 square cm
Algebra.Com
Question 985619: Find a rectangle which has a perimeter equal to 100cm and an area equal to 200 square cm
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
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:
\ =\ 50w\ -\ w^2)
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
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