SOLUTION: I don't understand and comprehend the format of the problem. The problem is a factoring problem when you have to use the property of zero. The problem says "A rug placed in a 10 fo

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I don't understand and comprehend the format of the problem. The problem is a factoring problem when you have to use the property of zero. The problem says "A rug placed in a 10 fo      Log On


   

Question 120428: I don't understand and comprehend the format of the problem. The problem is a factoring problem when you have to use the property of zero. The problem says "A rug placed in a 10 foot by 12 foot room covers two-thirds of the floor area and leaves a uniform strip of bare floor around the edges. Find the dimensions of the rug." Could you please help me?
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
the area of the room is 10*12 or 120 ft² __ two-thirds of this is 80 ft²

let x="width of uniform strip", so the rug length is 12-2x and the width is 10-2x

using the area __ (12-2x)(10-2x)=80 __ 120-44x+4x^2=80 __ 30-11x+x^2=20

x^2-11x+10=0 __ (x-10)(x-1)=0