document.write( "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? \n" ); document.write( "
Algebra.Com's Answer #88266 by scott8148(6628)![]() ![]() 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\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "let x=\"width of uniform strip\", so the rug length is 12-2x and the width is 10-2x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "using the area __ (12-2x)(10-2x)=80 __ 120-44x+4x^2=80 __ 30-11x+x^2=20\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x^2-11x+10=0 __ (x-10)(x-1)=0 \n" ); document.write( " |