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Math Help - Please Help Me Explain How the Length was found in this equation

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    Please Help Me Explain How the Length was found in this equation

    Please help me explain how the length was found in this equation. For instance a sentence or two starting out: "The length was found by..."

    Thank you so much in advance!

    The perimeter of a swimming pool is 96m. The width is 3m more than half the length of the pool. Find the length and breadth of the pool.

    96m = l and w (length and width)

    p = 96m (p = perimeter)
    w = l / 2 + 3m
    l= 30m
    30 / 2m = 15 + 3m = 18 m
    30l + 18w = 96p

    (the answer is l = 30 and w = 18)
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  2. #2
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    Quote Originally Posted by littlewhitepom View Post
    Please help me explain how the length was found in this equation. For instance a sentence or two starting out: "The length was found by..."

    Thank you so much in advance!

    The perimeter of a swimming pool is 96m. The width is 3m more than half the length of the pool. Find the length and breadth of the pool.

    96m = l and w (length and width)

    p = 96m (p = perimeter)
    w = l / 2 + 3m
    l= 30m
    30 / 2m = 15 + 3m = 18 m
    30l + 18w = 96p

    (the answer is l = 30 and w = 18)
    P = 2l +2w

    Let l = length

    Let 1/2 l +3 = width

    Now substitute: 2l + 2(1/2 l +3) = 96

    2l +l + 6 =96

    3l = 90

    l = 30

    Therefore, width = 1/2 l +3 = 18
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  3. #3
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    The perimiter of the pool is 96. Call the length "L" and the width L/2+3.

    The perimiter of the pool is twice the length plus twice the width. So

    96=L+L+(L/2+3)+(L/2+3) OR you can write it as 96=2L+2(L/2+3)

    Simplifying we get

    96=2L+L+6

    Rearranging and simplifying, we get

    90=3L

    Hence L=90/3=30

    Since the width is half the length plus three, we get

    W=30/2+3=18
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