document.write( "Question 855605: The length of a rectangular garden is 9 feet longer than its width. The garden's perimeter is 210 feet. Find the length of the garden. \n" ); document.write( "
Algebra.Com's Answer #515448 by JulietG(1812)![]() ![]() You can put this solution on YOUR website! A perimeter is a fence around. It requires two sections of width and two sections of length. \n" ); document.write( "2W + 2L = 210 [The garden's perimeter is 210 feet.] \n" ); document.write( "L = W + 9 [The length of a rectangular garden is 9 feet longer than its width.] \n" ); document.write( "Substitute the known value of L in the second problem into the first. \n" ); document.write( "2W + 2(W+9) = 210 \n" ); document.write( "2W + 2W + 18 = 210 \n" ); document.write( "4W + 18 = 210 \n" ); document.write( "Subtract 18 from each side \n" ); document.write( "4W = 192 \n" ); document.write( "Divide each side by 4 \n" ); document.write( "W = 48 \n" ); document.write( "If W is 48, then L is 9' longer, or 57. \n" ); document.write( ". \n" ); document.write( "Let's put it into the perimeter question to prove. \n" ); document.write( "2(48) + 2(57) = 210 \n" ); document.write( "96 + 114 = 210 \n" ); document.write( "210 = 210 \n" ); document.write( "Success! \n" ); document.write( " |