document.write( "Question 915688: John has a swimming pool that is 30 feet by 40 feet. He wants to plant a strip of grass of uniform width around the pool. He has enough seed to cover 144 square feet. How wide should the strip be? \n" ); document.write( "
Algebra.Com's Answer #555703 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Let the width be x \n" ); document.write( ".. \n" ); document.write( "Length of rectangle 40 feet \n" ); document.write( "width of rectangle 30 feet \n" ); document.write( " \n" ); document.write( "Area = 1200 Ft^2 \n" ); document.write( "Area of plot 144 Ft^2 \n" ); document.write( "length of rectangle & plot 40 + 2 x \n" ); document.write( "width of rectangle & plot 30 + 2 x \n" ); document.write( " \n" ); document.write( "( 40 + 2 x ) ( 30 + 2 x ) + -1,200 = 144 \n" ); document.write( " \n" ); document.write( " 1,200 + 80 x + 60 x + 4 X^2 + -1,200 = 144 \n" ); document.write( " 4X^2 + 140 x + -144 = 0 \n" ); document.write( "/4 \n" ); document.write( "x^2+35x-36=0\r \n" ); document.write( "\n" ); document.write( "x^2+36x-x-36=0\r \n" ); document.write( "\n" ); document.write( "x(x+36)-1(x+36)=0\r \n" ); document.write( "\n" ); document.write( "(x+36)(x-1)=0\r \n" ); document.write( "\n" ); document.write( "x=1 \r \n" ); document.write( "\n" ); document.write( "width = 1 foot\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |