document.write( "Question 250718: a Reactangle is twice as long as it is wide. If its length and width are both dimentions are increased by 4 m, its area is increased by 88m^2. Make a sketch and find the original dimentions of the rectangle \n" ); document.write( "
Algebra.Com's Answer #184777 by drk(1908)![]() ![]() ![]() You can put this solution on YOUR website! First rectangle. \n" ); document.write( "a Rectangle is twice as long as it is wide translates to \n" ); document.write( "(i) L = 2W \n" ); document.write( "If its length and width are both dimentions are increased by 4 m is translated to \n" ); document.write( "L+4, W + 4. \n" ); document.write( "its area is increased by 88m^2 means that new area - original area = 88m^2. \n" ); document.write( "-- \n" ); document.write( "original area from (i) \n" ); document.write( "A = LW = (2W)(W) = 2W^2 \n" ); document.write( "-- \n" ); document.write( "new area after + 4 to both L and W. \n" ); document.write( "A = LW = (2W+4)(W+4) = 2W^2 + 12W + 16. \n" ); document.write( "-- \n" ); document.write( "new area - old area = 88 is \n" ); document.write( "2W^2 + 12W + 16 - 2W^2 = 88 \n" ); document.write( "12W + 16 = 88 \n" ); document.write( "12W = 72 \n" ); document.write( "W = 6 \n" ); document.write( "L = 12.\r \n" ); document.write( "\n" ); document.write( "I am hoping from this you can make the sketch. \n" ); document.write( " |