document.write( "Question 831456: the length is two more than two times the width. if the area is 84cm^2 what are the dimesions of the rectangle \n" ); document.write( "
Algebra.Com's Answer #501389 by hovuquocan1997(83)![]() ![]() ![]() You can put this solution on YOUR website! Let the width be y in the equation \n" ); document.write( "Two times the width is 2y, and two more than that is 2y + 2 \n" ); document.write( "So you have the length is (2y+2) and the width is just y (as we let it be) \n" ); document.write( "Area is length times width, which is (2y+2)*y = 84 \n" ); document.write( "2y^2 + 2y - 84 = 0 \n" ); document.write( "Factor and solve \n" ); document.write( "(2y - 12)*(y + 7) = 0 \n" ); document.write( "y = 6 or y = -7 \n" ); document.write( "But of course the width can't be a negative number so y = 6 is the answer \n" ); document.write( "Now find the length : 2y+2 = 2*6 + 2 = 14 \n" ); document.write( "TA-DAH \n" ); document.write( "The length is 14 and the width is 6 :D \n" ); document.write( " |