document.write( "Question 111690: The length of a rectangular garden is 5 feet longer than the width. The garden is surrounded by a 2 foot wide sidewalk. The sidewalk has an area of 76 square feet. Find the dimensions of the garden. \n" ); document.write( "
Algebra.Com's Answer #81467 by edjones(8007)![]() ![]() You can put this solution on YOUR website! L=w+5 (garden) \n" ); document.write( "L*w=A \n" ); document.write( "w*(w+5)=w^2+5w (area of garden) \n" ); document.write( "(w+4)*(w+5+4)=76+w^2+5w (area of garden plus sidewalk) \n" ); document.write( "(w+4)*(w+9)=76+w^2+5w \n" ); document.write( "w^2+13w+36=w^2+5w+76 \n" ); document.write( "8w=40 subtract w^2+5w+36 from each side. \n" ); document.write( "w=5 \n" ); document.write( "L=5+5=10 \n" ); document.write( "Check \n" ); document.write( "(5+4)*(10+4)=126 \n" ); document.write( "126-50=76 \n" ); document.write( "Ed \n" ); document.write( " \n" ); document.write( " |