document.write( "Question 419966: A square quilt has a border that is 1 foot wide on each side. The quilt has an area of 25 square feet. What is the length of the quilt without the border? \n" ); document.write( "
Algebra.Com's Answer #293603 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A square quilt has a border that is 1 foot wide on each side. \n" ); document.write( " The quilt has an area of 25 square feet. \n" ); document.write( " What is the length of the quilt without the border? \n" ); document.write( ": \n" ); document.write( "Let x = length of each side without the border \n" ); document.write( ": \n" ); document.write( "A 1' border adds 2' to each dimension of the inner square \n" ); document.write( ": \n" ); document.write( "(x+2)^2 = 25 \n" ); document.write( "FOIL \n" ); document.write( "x^2 + 4x + 4 = 25 \n" ); document.write( "x^2 + 4x + 4 - 25 = 0 \n" ); document.write( "x^2 + 4x - 21 = 0 \n" ); document.write( "Factors to \n" ); document.write( "(x+7)(x-3) = 0 \n" ); document.write( "positive solution is what we want here \n" ); document.write( "x = 3 ft on each side without the border \n" ); document.write( " |