document.write( "Question 945012: The length of a rectangular backyard is 6 more than the width of the backyard. The perimeter of the backyard is 56 feet. What is the area of the backyard? (How would I work this out?) \n" ); document.write( "
Algebra.Com's Answer #576231 by macston(5194)![]() ![]() You can put this solution on YOUR website! Width=W:Length=L=W+6 Perimeter=P=56 feet \n" ); document.write( "P=2(L+W) \n" ); document.write( "56 feet=2(L+W) Substitute for L \n" ); document.write( "56 feet=2(W+6+W) \n" ); document.write( "56 feet=2(2W+6) \n" ); document.write( "56 feet=4W+12 Subtract 12 from each side \n" ); document.write( "44 feet=4W Divide each side by 4 \n" ); document.write( "11 feet=W ANSWER 1: Width is 11 feet. \n" ); document.write( "L=W+6=11+6=17 feet ANSWER 2: Length is 17 feet. \n" ); document.write( "Area=L*W=(17 feet)(11 feet)=187 sq ft \n" ); document.write( "ANSWER The area of the back yard is 187 sq ft \n" ); document.write( "CHECK \n" ); document.write( "P=2(L+W) \n" ); document.write( "56 feet=2(17 feet+11 feet) \n" ); document.write( "56 feet=2(28 feet) \n" ); document.write( "56 feet=56 feet \n" ); document.write( " |