document.write( "Question 456776: A garden's length is 6 feet more than its width. The walkway around the garden is 3 feet wide. The area of the walkway is 216 feet. What are the dimensions of the garden? \n" ); document.write( "
Algebra.Com's Answer #313425 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A garden's length is 6 feet more than its width. The walkway around the garden is 3 feet wide. The area of the walkway is 216 feet. What are the dimensions of the garden? \n" ); document.write( "--- \n" ); document.write( "Sketch a picture of a rectangle inside a rectangle. \n" ); document.write( "The inner rectangle is the garden. \n" ); document.write( "Its area is W(W+6) = w^2+6w \n" ); document.write( "---- \n" ); document.write( "The area of the larger ractangle = (W+6)(W+12) = w^2+18W+72 \n" ); document.write( "----- \n" ); document.write( "Area of the walkway = w^2+18w+72-(w^2+6w) = 216 \n" ); document.write( "12W+72 = 216 \n" ); document.write( "12W = 144 \n" ); document.write( "Width of the garden = 12 ft. \n" ); document.write( "Length of the garden = 18 ft. \n" ); document.write( "================================ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |