The length of Sally’s garden is 4 meters greater than 3 times the width. The perimeter of her garden

Discussion in 'Calculator Requests' started by math_celebrity, Feb 25, 2021.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    The length of Sally’s garden is 4 meters greater than 3 times the width. The perimeter of her garden is 72 meters

    A garden is a rectangle, which has perimeter P of:
    P = 2l + 2w

    With P = 72, we have:
    2l + 2w = 72

    We're also given:
    l = 3w + 4

    We substitute this into the perimeter equation for l:
    2(3w + 4) + 2w = 72
    6w + 8 + 2w = 72

    To solve this equation for w, we type it in our search engine and we get:
    w = 8

    Now, to solve for l, we substitute w = 8 into our length equation above:
    l = 3(8) + 4
    l = 24 + 4
    l = 28
     

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