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16 May, 21:38

A new fence is constructed on three sides of a housing block with area 240 m2. the fourth side facing the road is left open. if 52 m of fencing is used, what are the dimensions of the block?

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  1. 16 May, 21:44
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    Suppose the side parallel to the open side be y m and each of the other two sides be x m

    thus

    2x+y=52

    hence

    y=52-2x

    area is given by:

    area=xy

    x (52-2x) = 240

    re-writing the above we get

    -2x^2+52x-240=0

    x^2-26x+120=0

    factoring the above we get:

    (x-20) (x-6) = 0

    thus

    x=20 or x=6

    if x=20, then y=52-40=12

    if x=6, then y=52-12=40
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