document.write( "Question 1004432: The sum of the areas of two squares is 89 square centimeters. The length of a side of the larger square is 3 centimeters more than the length of a side of the smaller square. Find the dimensions of each square. \n" ); document.write( "
Algebra.Com's Answer #620923 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! smaller square has side x, area x^2 \n" ); document.write( "larger has side (x+3), area x^2+6x+9 \n" ); document.write( "the two add to 89 cm^2 \n" ); document.write( "2x^2+6x+9=89 \n" ); document.write( "2x^2+6x-80=- \n" ); document.write( "x^2+3x-40=0, factoring out a 2 \n" ); document.write( "(x+8)(x-5)=0 \n" ); document.write( "x=5, only sensible root \n" ); document.write( "small square is 5 x 5 cm or 25 cm^2 \n" ); document.write( "larger square is 8 x 8 cm or 64 cm^2 \n" ); document.write( " |