math

I can't seem to figure this out. It is for my study guide. Please help.

The length of a rectangle is 5 feet less than twice the width. The area is 25 sq feet. Using w as the variable, write an equation that can be used to calculate the width. Then find both the width and length of the rectangle.

Is the equation. 2w-5^2? How would I find both the width and length?

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asked by Matt
  1. let the width be w
    length = 2w-5

    w(2w-5) = 25

    2w^2 - 5w - 25 = 0
    (2w+5)(x-5) = 0
    w = -5/2 or w = 5, but the width could not be negative, so

    the width is 5 and the length is 2(5)-5 or 5

    your rectangle is a square.

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    posted by Reiny

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