Pre Algebra

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The ratio of the length of a rectangular field to its width is 10:7 if the width of the field is 70 meters find the perimeter of the field.

  • Pre Algebra -

    length = L
    width = w

    Ratio = L:w = 10:7 = L:70
    10:7 = L:70
    10/7 = L/70
    cross multiply
    700 = 7L
    L = 100

    L = 100, w = 70
    P = 2w + 2L
    P = ?

  • Pre Algebra -

    let the length be 10x
    let the width be 7x , ( notice the ratio 10x : 7x = 10:7 )

    given : 7x = 70
    x = 10

    Perimeter = 2(10x+7x) = 34x = 340

    check:
    length =100
    width =70
    perilmeter = 100+100+70+70 = 340

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