Question 200274
A 4 meter by 6 meter rug covers half the floor area of a room and leaves a uniform strip of base floor around the edges. That are the dimensions of the room? 
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The run covers 24 sq meters.
The area (4+x)*(6+x) covers 2 times that, = 48 sq meters
x^2 + 10x + 24 = 48
x^2 + 10x - 24 = 0
(x+12)*(x-2) = 0
x = 2 meters
The room is 6 by 8 meters.