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15 January, 14:00

7. The length of a rectangular park is 2 km less than twice the width. The area of the park

is 9km? Find the dimensions of the park.

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Answers (1)
  1. 15 January, 15:49
    0
    The length of the park is 3.36km and the width is 2.68km

    Explanation:

    The park is rectangular.

    Let L be the length of the park.

    Let w be the width of the park.

    According to the question:

    L = 2w - 2

    Area of the park = 9km²

    We know:

    Area of rectangle = length X width

    9 = (2w - 2) X (w)

    9 = 2w² - 2w

    2w² - 2w - 9 = 0

    On solving the quadratic equation we get:

    w = 2.68 km

    we know:

    L = 2w - 2

    So,

    L = 2 (2.68) - 2

    L = 3.36 km

    Therefore, the length of the park is 3.36km and the width is 2.68km
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