One side of a rectangle is 2 m shorter than another side. The area is 360 m2. Write a quadratic equation and solve it to find the length of

Question

One side of a rectangle is 2 m shorter than another side. The area is 360 m2. Write a quadratic equation and solve it to find the length of the longer side of the rectangle

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Brielle 3 months 2021-10-20T16:24:09+00:00 1 Answer 0 views 0

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    2021-10-20T16:25:11+00:00

    Answer:

    Step-by-step explanation:

    Let one of the side = x

    So, other side = x – 2

    Area = 360 sq.m

    x*(x – 2) = 360

    x*x – x * 2 = 360

    x² – 2x -360 = 0

    x² + 18x – 20x  – 18*20 = 0

    x(x +18) – 20*(x + 18 ) = 0

    (x + 18)(x -20) = 0

    {x + 18 is ignored as measurement will not be a negative number}

    x – 20 = 0

    x = 20

    Length of the longer side = 20 m

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