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19 October, 18:18

The length of a rectangle 8 more than the width. the area is 513 square inches. find the length and width of the rectangle

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  1. 19 October, 18:28
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    width = 19 inches

    length = 27 inches

    Step-by-step explanation:

    Let width be w inches so according to given scenario as length is 8 more than width so the equation becomes

    l=8+w inches (Equation 1)

    Area of Rectangle = L*w

    Area = 513

    L*w=513 (Equation 2)

    Putting l's value from equation 1 in equation 2

    (8+w) w=513

    w^2+8w-513=0

    Making Factors

    w^2+27w-19w-513=0

    w (w+27) - 19 (w+27) = 0

    (w-19) (w+27) = 0

    w=19, w=-27

    as width cannot be negative so if we only consider w=19 then

    l=8+19

    l=27
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