The width of a rectangle is 7 meters less than the length Find the dimension of the rectangle if the area is 369 square meters

Question

The width of a rectangle is 7 meters less than the length Find the dimension of the rectangle if the area is 369 square meters

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Anna 1 month 2021-09-17T09:52:52+00:00 1 Answer 0 views 0

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    2021-09-17T09:54:30+00:00

    Answer:

    Let, The length of rectangle = x m

    Breadth of rectangle = (x-7) m

    Area of rectangle = length × breadth

    or, 369 = x (x-7)

    or, x^27x369 = 0

    or, x^22×x×(7/2)+(7/2)^2369(49/4) =0

    or,

     {(x -  \frac{7}{2} ) }^{2} - (369 +  \frac{49}{4} ) = 0

    or,

     {(x -  \frac{7}{2} )}^{2}  =  \frac{1525}{4}

    or,

    x =  \frac{7}{2} +  \frac{ \sqrt{1525} }{2}

    Hence, Length and Breadth of rectangle are

     \frac{7 +  \sqrt{1525} }{2} m \: and \:  \frac{ - 7 +  \sqrt{1525} }{2} m

    respectively...

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