Question

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.

Answer 1

8ft

Answer 2

Thanks

Answer 3

Thanks

Answer 4

I got 9?