document.write( "Question 809358: word problem is: the total surface area of a closed box is 350 square meters. the boxes 9 meters high and has a square base and lid. find the length of a side of the base? \n" ); document.write( "
Algebra.Com's Answer #487708 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! the total surface area of a closed box is 350 square meters. \n" ); document.write( " the boxes 9 meters high and has a square base and lid. \n" ); document.write( " find the length of a side of the base? \n" ); document.write( ": \n" ); document.write( "let x = one side of the square base \n" ); document.write( "then \n" ); document.write( "2x^2 = the area of the top and bottom of the box \n" ); document.write( "and \n" ); document.write( "4(9x) = the area of the 4 sides \n" ); document.write( ": \n" ); document.write( "Surface area equation \n" ); document.write( "2x^2 + 4(9x) = 350 \n" ); document.write( "simplify, divide by 2 \n" ); document.write( "x^2 + 2(9x) = 175 \n" ); document.write( "A quadratic equation \n" ); document.write( "x^2 + 18x - 175 = 0 \n" ); document.write( "Factors to \n" ); document.write( "(x+25)(x-7) = 0 \n" ); document.write( "The positive solution \n" ); document.write( "x = 7 meters, the side of the square base \n" ); document.write( ": \n" ); document.write( "; \n" ); document.write( "Check \n" ); document.write( "2(7^2) + 4(7*9) = 350 \n" ); document.write( " |