document.write( "Question 428259: A parallelogram has an area of 84 square centimeters and a base that is 5 centimeters longer than the height. Find the height. \n" ); document.write( "
Algebra.Com's Answer #297975 by kittycat1613(12)![]() ![]() ![]() You can put this solution on YOUR website! Area of a parallelogam= base x height\r \n" ); document.write( "\n" ); document.write( "Let x= length of height in centimeters \n" ); document.write( " x+5= length of base in centimeters\r \n" ); document.write( "\n" ); document.write( "base * height= area \n" ); document.write( "base * height= 84 \n" ); document.write( "x (x+5)=84[-> distribute the x+5 with the x] \n" ); document.write( "x^2+5x=84 [subtract 84 from both sides] \n" ); document.write( "x^2+5x-84=0 [factor the equation] \n" ); document.write( "(x+12)(x-7)=0 [find the two roots] \n" ); document.write( "x=-12 OR x=7 [can't be -12 b/c when finding dimensions of a parallelogram, has to be positive] \n" ); document.write( "x=7 \n" ); document.write( "x+5=12\r \n" ); document.write( "\n" ); document.write( "The height is 7 centimeters. \n" ); document.write( " \n" ); document.write( " |