a rectangular lawn of dimensions 6x metres by x metres. In the centre is a rectangular flower bed of length (x + 4) m and width (x – 1) m.

Question

a rectangular lawn of dimensions 6x metres by x metres. In the centre is a rectangular flower bed of length (x + 4) m and width (x – 1) m. If the area of the shaded region is 40 m’, calculate the area of the flower bed.​

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Bình An 6 months 2021-08-26T04:56:35+00:00 1 Answers 2 views 0

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    2021-08-26T04:58:10+00:00

    Answer:

    The area of flower bed is 8.96 m^2.

    Step-by-step explanation:

    Length of lawn = 6 x

    width of lawn = x

    length of flower bed = x + 4

    width of flower bed = x – 1

    Area of shaded region = 40 m^2

    Area of the shaded region

    6 x (x) – (x +4)(x -1) = 40

    5 x^2 - 3 x - 36 = 0 \\\\x = \frac{-3\pm\sqrt{9 + 720}}{10}\\\\x = \frac{-3\pm 27}{10}=2.4 m, - 3 m

    As length cannot have negative value, so x = 2.4 m.

    Area of flower bed = (x + 4)(x – 1) = (2.4 + 4)(2.4 – 1) = 8.96 m^2

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