math

posted by .

a house has two rooms of equal area. one room is square and the other room a rectangle, four feet narrower and 5ft longer than the square one. find the area of each room?

let x = dimensions of the square.
Rectangle then is x-4 and x+5
Set areas equal.
area of square is x2
area of rectangle is (x-4)*(x+5).

(x-4)*(x+5)=x2
solve for x which will be sides of the square. Square that to obtain the area.
Post your work if you get stuck.

  • math -

    8ft

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math

    A house has two rooms of equal area. One room is a rectangle 4ft narrower and 5ft longer then the square one. Find the area of each room. Please explain to me what to do because i am confused. Thanks
  2. math

    Sam is going to tile a rectangular room that has an area of 64 square feet. He will be using square tiles that measure 1/4 square feet. If the dimensions of the sun room are to be whole numbers in feet, list all of the possible sets …
  3. Math

    DID I do this right? A homeowner wanted to improve the value of his home by putting tile flooring in three of his rooms. He researched the different types of tile and decided on two types: ceramic tile and decorative tile. He found
  4. math

    In a particular house,the bedrooms take up 1/3 of the total floor area, and the living room takes up another 1/5.If the rest of the house has an area of 700 square feet,find the area of the living room and area devoted to bedrooms.
  5. Fher

    a laundry room is shaped like a rectangle. the area of the room is 6 square yards. the perimeter is 10 yards. The room is longer than it is wide. How wide is the room?
  6. Geometry

    the walls, floor, and ceiling of a room form a rectangular solid. The total surface are of the room is 992 square feet. The dimensions of the floor are 12 feet by 20 feet a. What is the lateral area of the room b. What is the height …
  7. math word problems

    A room is a square with integer dimensions. it is made 3 feet wider and 2 feet deeper. the increase in area is 46 square feed. What were the dimensions of the old room?
  8. Math

    For a math homework assignment, Karla found the area and perimeter of a room of her house. She reported that the area of her rectangular living room is 180 square feet and that the perimeter is 54 feet. When drawing a sketch of her …
  9. math

    The dimensions of a rectangle dining room are 18 feet by 16 feet.If a scale factor of 1/4 is used to make a scale model of the dining room,what is the area of the dining room in the scale model?
  10. algebra

    Rhett decides to build a square room for his movie and music collection. If the area of the room is 9x2 − 6x + 1 square feet, what is the length of one side of the room?

More Similar Questions