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Summer Clouds moderators

08/08/2017 at 13:52
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For a certain rectangle, its perimeter, in feet, and area, in square feet, are numerically equal. If the length of the rectangle is 8 feet, what is its width? Express your answer as a mixed number.




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    WhySoSerious 08/08/2017 at 14:28

    Sorry I have a mistake :

    Because its perimeter is equal its area : 

    So we call the width is x.

    We have : \(8\cdot x=\left(8+x\right)\cdot2\)

    \(\Rightarrow x=\dfrac{8}{3}\)

    So the width is \(\dfrac{8}{3}=2\dfrac{2}{3}\left(feet\right)\)

  • ...
    WhySoSerious 08/08/2017 at 14:18

    Because its perimeter is equal its area.

    So we called the width is x.

    We have : \(8\cdot x=\dfrac{8+x}{2}\)

    \(\Rightarrow x=\dfrac{8}{15}\left(feet\right)\)

    So the width is \(\dfrac{8}{15}feet\)


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