document.write( "Question 768337: the difference of the areas of 2 squares is 75 square feet. each side of the larger square is twice the length of a side of the smaller square. find the length of the side of each square. \n" ); document.write( "
Algebra.Com's Answer #468230 by ramkikk66(644)\"\" \"About 
You can put this solution on YOUR website!

\n" );
document.write( "the difference of the areas of 2 squares is 75 square feet. each side of the larger square is twice the length of a side of the smaller square. find the length of the side of each square.
\n" );
document.write( "Ans:
\n" );
document.write( "Let the smaller square be of side x
\n" );
document.write( "Then the larger square has each side of 2*x
\n" );
document.write( "Area of smaller square = \"x%5E2\"
\n" );
document.write( "Area of larger square = \"%282%2Ax%29%5E2+=+4%2Ax%5E2\"
\n" );
document.write( "Difference in areas = \"4%2Ax%5E2+-+x%5E2+=+75\"
\n" );
document.write( "Simplifying
\n" );
document.write( "\"3%2Ax%5E2+=+75\"
\n" );
document.write( "\"x%5E2+=+25\"
\n" );
document.write( "\"x+=+5\"
\n" );
document.write( "So the two squares have sides as \"highlight%285%29\" and \"highlight%2810%29\" feet.
\n" );
document.write( "Check for correctness.
\n" );
document.write( "Area of first = 5*5 = 25
\n" );
document.write( "Area of second = 10*10 = 100
\n" );
document.write( "Difference = 100 - 25 = 75 
\n" );
document.write( "Correct :)
\n" );
document.write( " \n" );
document.write( "
\n" );