document.write( "Question 45990: Here is the problem:
\n" ); document.write( "The area of a square is twice the area of a triangle. The base of the triangle is 2 less than the side of the square and the height of the triangle is twice the side of the square. Find the side of the square. What equation using one variable would you use to find the side of the square? And how would you solve the equation? Thank you so much. \n" ); document.write( "

Algebra.Com's Answer #30546 by Paul(988) $\"\"$ $\"About$

You can put this solution on YOUR website!
Base of triangle = x-2
\n" ); document.write( "Height os triangle = 2x
\n" ); document.write( "Side of square = x
\n" ); document.write( "Area of triangle = ( base * height ) / 2
\n" ); document.write( "--> $\"%28%28x-2%29%282x%29%29%2F2\"$
\n" ); document.write( "--> $\"%282x%5E2-4x%29%2F2\"$
\n" ); document.write( "Area of square --> $\"2%28%282x%5E2-4x%29%2F2%29\"$ or $\"x%5E2\"$
\n" ); document.write( "EQUATION:
\n" ); document.write( " $\"x%5E2=%284x%5E2-8x%29%2F2\"$
\n" ); document.write( " $\"2x%5E2=4x%5E2-8x\"$
\n" ); document.write( " $\"2x%5E2-8x=0\"$
\n" ); document.write( "x=4
\n" ); document.write( "Hence, the side of the square is 4 cm.
\n" ); document.write( "Paul. \n" ); document.write( "

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