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5 May, 19:53

Area of the living room is 180 square feet and the perimeter is 54 feet. What are the dimensions in feet?

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  1. 5 May, 23:00
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    Answer ... 15ft by 12ft

    Explanation:

    Area = Length * Width

    180 = LW ... make W the subject of formula

    ; W = 180/L

    Perimeter = 2L + 2W

    54 = 2L + 2 (180/L) ... sub W with the formula above ...

    then simplify the equation and obtain ...

    2L^2 - 27L + 180 = 0 ... then solve using the quadratic formula ... then obtain ...

    ; L = 15ft ... after obtaining L = 15 ... then substitute into the W = 180/L equation ...

    where W = 180/15 = 12ft

    there you have ... Length = 15ft and Width = 12ft
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