document.write( "Question 259557: the area of a square, expressed in square inches, is 165 in inches greater than its perimeter, expressed in inches. what is the length of a side of the square? \n" ); document.write( "
Algebra.Com's Answer #191472 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! the area of a square, expressed in square inches, is 165 in inches greater than its perimeter, expressed in inches. \n" ); document.write( "what is the length of a side of the square? \n" ); document.write( ": \n" ); document.write( "Area = x^2 \n" ); document.write( "Perimeter = 4x \n" ); document.write( ": \n" ); document.write( "x^2 - 4x = 165 \n" ); document.write( ": \n" ); document.write( "x^2 - 4x - 165 = 0; our old friend, the quadratic equation! \n" ); document.write( "Factor \n" ); document.write( "(x - 15)(x + 11) = 0 \n" ); document.write( "Positive solution is what we want here \n" ); document.write( "x = 15 is the length of the square \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Is this true? \n" ); document.write( "15^2 - 4(15) = \n" ); document.write( "225 - 60 = 165 \n" ); document.write( " |