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If length is increased by 60% …

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If length is increased by 60% then what %the breath have to reduce to maintain same area.it is rectangle

    • Posted by Ashish Singh 6 years, 10 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Gaurav Seth 6 years, 10 months ago

    The length of a rectangle is increased by 60% By what percent would the breath have to be decreased to maintain the same area? 
    Solution:
    let X = the decimal equiv decrease of the width
    :
    Write an area equation
    Original area = new area

    L * W = 1.6L * XW
    Divide both sides by LW
    1 = 1.6 * X
    divide both sides by 1.6
     = X
    x = .625, 
    new width = .625*old width, therefore
    1 - .625 = .375 * 100 = 37.5 decrease in the width to have the same area

    3Thank You

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