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26 September, 00:11

The perimeter of a rectangular swimming pool is 446 centimeters. The width of the pool is 7 centimeters less than the length of the pool. Find the length and the width of the swimming pool.

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Answers (2)
  1. 26 September, 01:13
    0
    length = 115 cm

    width = 108 cm

    Step-by-step explanation:

    The perimeter of a rectangular swimming pool is 446 centimeters

    LEt L be the length of the pool

    The width of the pool is 7 centimeters less than the length of the pool.

    width = length - 7

    W = L-7

    Given perimeter = 446

    Perimeter of rectangle = 2 (length) + 2 (width)

    446 = 2 (L) + 2 (W) we know W = L-7

    446 = 2 (L) + 2 (L-7)

    446 = 2L + 2L - 14

    Add 14 on both sides

    460 = 4L

    divide by 4 on both sides

    L = 115

    Length L = 115

    Width W = L - 7 = 115 - 7 = 108
  2. 26 September, 01:15
    0
    length = 115

    width = 115 - 7 = 108

    Step-by-step explanation:

    Formula:

    Perimeter of rectangle with length 'l' and width 'b' is given by,

    Perimeter = 2 (l + b)

    To find the length and breadth

    Here perimeter = 446 cm

    Let 'x' be the length of rectangle then width = x - 7

    Perimeter = 2 (l + b) = 446

    2 (x + x - 7) = 446

    2 (2x - 7) = 446

    2x - 7 = 446/2 = 223

    2x = 223 + 7

    2x = 230

    x = 230/2 = 115

    Therefore length = 115

    Then width = 115 - 7 = 108
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