mathematics

the perimeter of a rectangular field is 140m. if the length is increased by 15m and the breadth is decreased by 5m, the length will become 3 times the bredth. find the length and the breadth of the field.

asked by Anonymous
  1. Is some information missing? Not enough info to answer question.

    posted by Rosemary
  2. let the length be x
    let the breadth be y
    2x+2y=140
    x+y=70
    y = 70-x

    new length = x+15
    new breadth = y-5 = 70-x-5 = 65-x

    x+15 = 3(65-x)
    x+15 = 195 - 3x
    4x = 180
    x = 45 ---> y = 70-45 = 25

    the field is 45 by 25 m

    check: increased length = 45+15 = 60
    decreased breadth = 25-5 = 20

    is 60 equal to 3 times 20 ? Sure is!

    posted by Reiny

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