The length of a rectangle is 5m more than twice the width, and the area of the rectangle is 52m2. find the dimensions of the rectangle.

Question

The length of a rectangle is 5m more than twice the width, and the area of the rectangle is 52m2. find the dimensions of the rectangle.

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Reagan 1 month 2021-12-27T16:22:25+00:00 1 Answer 0 views 0

Answers ( )

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    2021-12-27T16:24:12+00:00

    Answer:

    Width =  4 m

    Length = 13m

    Step-by-step explanation:

    Let width = x

    Length = 2x + 5

    Area = 52 m²

    length * width = 52

    (2x + 5) * x = 52

    2x *x + 5*x = 52

    2x² +5x – 52 =0

    2x² – 8x + 13x – 13*4 = 0

    2x*(x – 4) + 13*(x – 4) = 0

    (x – 4) (2x + 13) = 0

    x – 4 = 0      {Ignore 2x + 13 = 0 as measurements will not be in negative}

    x = 4 m

    Width =  4 m

    Length = 2*4 + 5 = 8+5 = 13m

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