linear-equations-in-one-variable

the length of a rectangle exceeds its breadth by 4 cm. if length and breadth are each increased by 3 cm, the area of the new rectangle will be 81 cm sqsq morthan that of the given rectangle. find the length and breadth of the given rectangle.

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  1. If the width is x and the length y, then

    y = x+4
    (x+3)(y+3) = xy+81

    Now just solve for x and y. If you expand the 2nd equation, you will see the xy drop out, leaving you with two linear equations in x and y.

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    posted by Steve
  2. or - using one variable, as your title suggests

    width --- x
    length --- x+4

    new width = x+3
    new length = x+7

    (x+3)(x+7) - x(x+4) = 81
    x^2 + 10x + 21 - x^2 - 4x = 81
    6x = 60

    etc

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    posted by Reiny
  3. oh, sure - read the topic carefully.

    show-off.

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    posted by Steve
  4. length 14 cm breadth 10 cm

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    posted by suraj

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