document.write( "Question 993068: The length of a rectangle exceeds its width by 2 feet. If each dimension were increased by 3 feet, the area would be increased by 51 square feet. Find the dimensions. \n" ); document.write( "
Algebra.Com's Answer #612467 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! The length of a rectangle exceeds its width by 2 feet. If each dimension were increased by 3 feet, the area would be increased by 51 square feet. Find the dimensions. \n" ); document.write( "----- \n" ); document.write( "Width:: x \n" ); document.write( "Length:: x+2 \n" ); document.write( "Original Area:: x^2+2x \n" ); document.write( "----------------------------- \n" ); document.write( "After change:: \n" ); document.write( "Width:: x+3 \n" ); document.write( "Length:: x+5 \n" ); document.write( "New Area:: (x+3)(x+5) = x^2 + 8x + 15 \n" ); document.write( "---- \n" ); document.write( "Equation: \n" ); document.write( "New area - Old area = 51 ft^2 \n" ); document.write( "---- \n" ); document.write( "x^2+8x+15 - (x^2+2x) = 51 \n" ); document.write( "------ \n" ); document.write( "6x + 15 = 51 \n" ); document.write( "6x = 36 \n" ); document.write( "x = 6 \n" ); document.write( "---- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "================= \n" ); document.write( " |