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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.

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  1. 8ft

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