# math

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.

1. 👍 0
2. 👎 0
3. 👁 281
1. 8ft

1. 👍 0
2. 👎 0
2. Thanks

1. 👍 0
2. 👎 0
posted by Haszle

## 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

asked by Alex on November 9, 2007

can someone please tell me the answer to these 2 questions for my study guide?? 7.find the quotient 5/20 divided by 1/7= A.1 1/4 B.4/5 C.5/196 D.4/21 9.Michael spends 3 hours cleaning his house,he spends equal amounts of time

asked by mathelp124576 on January 7, 2014

6.find the quotient 6 divided by 1/5= A.1 1/5 B.1/5 C.5/36 D.30(I PICK THIS) 7.find the quotient 5/20 divided by 1/7= A.1 1/4(I PICKED THIS) B.4/5 C.5/196 D.4/21 8.find the quotient 6 2/7 divided by 2 3/4= A.2 2/7 B.17 2/7 C.2

asked by mathelp124576 on January 7, 2014
4. ### computer science

The problem is to calculate the usable area in square feet of a house. Assume that the house has a maximum of four rooms, and that each room is rectangular. I need help writing a program description,analysis,test,and with

asked by Michelle on September 12, 2014
5. ### Math

Teng is designing a house and in each room he can choose from tiles, floorboards, or carpet for the floor. a. How many combinations of flooring materials are possible if her designs a 2 room studio? b. How many combinations are

asked by Michelle on December 8, 2013
6. ### 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

asked by Anonymous on May 14, 2015
7. ### 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

asked by chris on January 20, 2010
8. ### algebra

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

asked by chris on January 20, 2010
9. ### statistic

Let's assume there are 3 people in Room A and another 3 people in Room B. The ages of the people in Room A are 25, 25, and 25. The ages of the people in Room B are: 10, 25, and 40. The mean of the ages in both rooms is 25. Does

asked by carol on May 12, 2010