If a room were 2m longer and 3m broader its area would have increased by 16 sq m. if its were 1 metre shorter and 2m broader . the area would have increased by 16 sq m. find its lenght and breadth ?

  1. 👍
  2. 👎
  3. 👁
  1. original room : x m by y m , area = xy

    (x+2)(y+3) = xy + 16
    xy + 3x + 2y + 6 = xy+16
    3x + 2y = 10

    (x-1)(y+2) = xy + 16
    xy + 2x - y - 2 = xy+16
    2x - y = 18

    2x -y = 18
    I get a negative value for y, which makes no sense

    check your problem, or your typing

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. math ~dont know all but check some~ pls help!!!

    1. Draw a model to represent the polynomial x2 + 2x + 4. (1 point) 1 big square, 1 tall rectangle, 4 little sqaures 1 big square, 2 tall rectangles, 4 little sqaures in the shape of an "L" 2 big sqaures, 4 little squares none of

  2. math

    The diagonal of a rectangular room is 52 ft long. one wall measures 28 ft longer than the adjacent wall. Find the dimensions of the room.

  3. math

    A rectangular room is 5 meters longer than it is wide, and its perimeter is 22 meters. a. Letting w represent the width of the rectangle, write an equation that represents the perimeter of the room. = 22 b. Find the width of the

  4. MOMETRIX TEAS 6 practice

    On a floor plan drawn at a scale of 1:100, the area of a rectangular room is 30cm^2. What is the actual area of the room? Answer: 30 m^2 Just need help understanding the concept and putting it all together. I can't grasp it very

  1. vocab

    The road grew wilder and 'drearier'. broader darker muddier older My guess is darker, but I have a feeling it is broader. Can someone help me?

  2. Math

    The area of a square living room is 256 ft2. Which is the length of the room?

  3. math

    The diagonal of a rectangular room is 13 ft long. One wall measures 7 ft longer than the adjacent wall. Find the dimensions of the room.

  4. math

    A rectangular piece of carpet is place on the floor of a rectangular room leaving a margin of 1 m around it. If the room measures 8 m by 6 m find the area of the room not covered by the carpet.

  1. Math7 grade

    An architectural drawing has a scale of 2 in=5 feet. If living room is 15 feet by 18 feet ,what is the living room size . What is the area of the living room in drawing. What is the area of actual. Living room . How do they

  2. math

    Area of the four walls of a room is 108 m2. If the height and length of the room are in the ratio of 2 : 5 and the height and breadth in the ratio 4 : 5, then the area, in m2, of the floor of the room is :

  3. math

    The scale drawing of a rectangular room will be enlarged by a scale factor of 4 to create the actual room. The actual area of the room will be 150 square feet. What expression finds the area of the scale drawing?

  4. science

    Lake Victoria in East Africa is home to many species of fish called cichlids. In 1954 the predatory Nile perch was introduced to Lake Victoria. The Nile perch became the dominant fish species in the lake by the mid-1980's. The

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