document.write( "Question 39728: The area of a rectangle is 344 cm sq. The height is three more than five times the base. What is the height? \n" ); document.write( "
Algebra.Com's Answer #25143 by Fermat(136)![]() ![]() You can put this solution on YOUR website! Let b = size of base \n" ); document.write( "Let h = size of height \n" ); document.write( "Let A = area \n" ); document.write( "h = 3 + 5b (h is 3 more than 5 times base) \n" ); document.write( "A = h * b \n" ); document.write( "A = (3+5b)* b \n" ); document.write( "344 = 3b + 5bē \n" ); document.write( "5bē + 3b - 344 = 0 \n" ); document.write( "(5b + 43)(b - 8) = 0 \n" ); document.write( "b = -8.6, b = 8 \n" ); document.write( "Discarding the negative value, \n" ); document.write( "b = 8 \n" ); document.write( "h = 3 + 5b \n" ); document.write( "h = 3 + 40 \n" ); document.write( "h = 44 \n" ); document.write( "====== \n" ); document.write( " |