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.

  1. 👍 2
  2. 👎 1
  3. 👁 936
  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.

    1. 👍 1
    2. 👎 0
  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

    1. 👍 2
    2. 👎 2
  3. oh, sure - read the topic carefully.

    show-off.

    1. 👍 1
    2. 👎 3
  4. length 14 cm breadth 10 cm

    1. 👍 1
    2. 👎 2

Respond to this Question

First Name

Your Response

Similar Questions

  1. math

    The area of a rectangular field is 2000 sq.m and its perimeter is 180m. Form a quadratic equation by taking the length of the field as x and solve it to find the length and breadth of the field. the length and breadth are A)

  2. math

    length of a rectangle exceeds its breadth by 4 m. if the parimeter of the the rectangle is 84 m, find its length and breadth.?

  3. Maths

    The perimeter of a rectangle is 30 metres. If it's length exceeds its breadth by 3 metre, then find its length

  4. MAth

    the perimetre of rectangle is 240cm .if length is increased by 10% and breadth is decreased by 20% the perimetre remains same. find the length

  1. math

    The length of a rectangle is 5cm longer than the its breadth. Find the length and breadth if the perimeter is 26 cm

  2. Math

    Length of rectangle is 8 metres less than twice its breadth. If the perimeter of the rectangle is 56 metres.Find its length and breadth

  3. math

    The length of a rectangle is twice its breadth. If the perimeter is 42cm, find: 1) the length 2) the breath

  4. Maths

    the length of room is twice its breadth. if the area is 242 square meters then find out it's breadth a) 11 b) 10 c) 12 d) 9 show ur workings?

  1. Math,Ratio

    the length of a rectangle is 6times as long as its breadth. a.) what fraction of the perimeter of the rectangle is the length of the rectangle? b.) find the ratio of the length of the rectangle to its breadth and to its perimeter.

  2. math

    If the length and breadth of a rectangle are increased by 3m and 2m,respectively the area would increase by 52 sq.m.If the length and breadth are decreased by 2m and 3m,respectively the area would decreased by 43sq.m.Find the

  3. math

    a rectangle is three times ad long as its breadth. if the perimeter of rectangle is 40m, find its length and breadth

  4. Mathematics

    A rectangular field is 0.4m longer than it is wide if it's length is 6m ,find it's Perimeter when the breadth of the rectangle is reduced by 0.5m,the length is increased by 1/4 of its original. What is the change in the length of

You can view more similar questions or ask a new question.