document.write( "Question 76596: If the sides of a square are decreased by 3 cm, the area is decreased by 81 cm^2. What were the dimensions of the original square?\r
\n" );
document.write( "\n" );
document.write( "Thank you. \n" );
document.write( "
Algebra.Com's Answer #54924 by checkley75(3666)![]() ![]() ![]() You can put this solution on YOUR website! (x-3)(x-3)=x^2-81 \n" ); document.write( "x^2-6x+9=x^2-81 the x^2 factors cancel out thus: \n" ); document.write( "-6x=-81-9 \n" ); document.write( "-6x=-90 \n" ); document.write( "x=-90/-6 \n" ); document.write( "x=15 cm. the original length of the sides of the square. \n" ); document.write( "proof \n" ); document.write( "(15-3)(15-3)=12^2-81 \n" ); document.write( "12*12=15^2-81 \n" ); document.write( "144=225-81 \n" ); document.write( "144=144\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |