document.write( "Question 1139832: An unfinished quilt in the shape of a triangle has an area of 27m2. If the base of the triangular quilt is 3m more than the height, what are the dimensions of the triangular quilt? \n" ); document.write( "
Algebra.Com's Answer #760336 by rothauserc(4718)![]() ![]() You can put this solution on YOUR website! let h be the triangles height, then \n" ); document.write( ": \n" ); document.write( "h+3 is the base \n" ); document.write( ": \n" ); document.write( "(1/2) * (h+3) * h = 27 \n" ); document.write( ": \n" ); document.write( "(h+3) * h = 54 \n" ); document.write( ": \n" ); document.write( "h^2 +3h -54 = 0 \n" ); document.write( ": \n" ); document.write( "(h+9) * (h-6) = 0 \n" ); document.write( ": \n" ); document.write( "h=6, -9 \n" ); document.write( ": \n" ); document.write( "we reject the negative value for h, then \n" ); document.write( ": \n" ); document.write( "the dimensions of the triangular quilt are height=6m, base=9m \n" ); document.write( ":\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |