document.write( "Question 965007: the length of a rectangle is 12 centimeters less than its width what are the dimensions of the rectangle if its area is 160 square centimeters \n" ); document.write( "

Algebra.Com's Answer #589771 by tenkun(12) $\"\"$ $\"About$

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let width =x cm
\n" ); document.write( "then length = x-12 cm
\n" ); document.write( "given that area of rectangle = 160 sq cm
\n" ); document.write( " l* b = 160
\n" ); document.write( " (x-12)*x= 160
\n" ); document.write( " x^2 - 12*x= 160
\n" ); document.write( " x^2 -12*x -160=0
\n" ); document.write( " x^2 -20*x+8*x -160 =0
\n" ); document.write( " x(x-20)+8(x-20) = 0
\n" ); document.write( " (x-20)*(x+8) = 0
\n" ); document.write( " x=20 x=-8 (negative)
\n" ); document.write( " hence width = 20 cm
\n" ); document.write( " length = 20-12 =8cm \n" ); document.write( "

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