The length of a rectangular garden is 6 feet more than three times its width. The perimeter of the garden is 76 feet. Find the length

Question

The length of a rectangular garden is 6 feet more than three times its width.
The perimeter of the garden is 76 feet. Find the length and width of the garden.

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Abigail 1 month 2021-09-10T04:20:28+00:00 1 Answer 0

Answers ( )

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    2021-09-10T04:21:49+00:00

    Answer:

    Width of rectangle =  8 feet

    Length of rectangle =  30 feet.

    Step-by-step explanation:

    Let the width of garden be X meter.

    Given length of garden is thrice the width of garden added with 6 feet.

    Mathematically length of garden in terms of X will be

    length of garden = 3X (thrice the width of garden) + 6

    Perimeter of garden is 76 feet.

    Formula to calculate perimeter of rectangle is = 2( length * width)

    Perimeter of garden = 2( length * width)

    Substituting value of Perimeter of garden and length and width of garden in terms of X we have given below equation

    76 = 2 ( X +3X+6)

    => 76/2 = 4X + 6

    => 38 – 6 = 4X

    => X = 32/4 = 8

    Therefore

    width of rectangle = X = 8 feet

    Length of rectangle = 3X+6 = 3*8 + 6 = 30 feet.

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