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)\"\" \"About 
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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.
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