document.write( "Question 850: The area of a square is 45 more square inches than its perimeter. Find the length of each side of the square. \n" ); document.write( "
Algebra.Com's Answer #298 by usyim88hk(158)![]() ![]() ![]() You can put this solution on YOUR website! let x be one side of the square: \n" ); document.write( "x^2 is the area of the square \n" ); document.write( "4x is the perimeter of the square \n" ); document.write( "x^2 = 4x + 45 (Area is equal to the perimeter plus 45) \n" ); document.write( "x^2-4x-45 = 4x+45-4x-45 \n" ); document.write( "x^2-4x-45 = 0 (now factor) \n" ); document.write( "(x-9)(x+5) = 0 \n" ); document.write( "x = 9 or -5 \n" ); document.write( "Since length cannot be a negative number, -5 is not the answer, so the answer is 9 \n" ); document.write( "------------------------------------------------------------------------------- \n" ); document.write( "check: \n" ); document.write( "9^2 = 4(9)+45 \n" ); document.write( "81 = 36+45 \n" ); document.write( "81=81 (Correct!!!) \n" ); document.write( " |