SOLUTION: a house has 2 rooms of equal area. 1 room is square and the other is a rectangle 4 ft narrower and 5 ft longer than the square one. find the area of each room.

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Question 239543: a house has 2 rooms of equal area. 1 room is square and the other is a rectangle 4 ft narrower and 5 ft longer than the square one. find the area of each room.
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
x^2=(x+5)(x-4)
x^2=x^2+x-20
x=20 ft. is the size of the square room.
Proof:
20^2=(20+5)(20-4)
400=25*16 (25 by 16 is the size of the rectangle room).
400=400