document.write( "Question 1127087: An architect designs a rectangular flower garden such that the width is exactly two-thirds of the length. If 420 feet of antique picket fencing are to be used to enclose the garden, find the dimensions of the garden. \n" ); document.write( "

Algebra.Com's Answer #743439 by rothauserc(4718) $\"\"$ $\"About$

You can put this solution on YOUR website!
let w be width of the rectangular flower garden and l be its length, then
\n" ); document.write( ":
\n" ); document.write( "2(2l/3) + 2l = 420
\n" ); document.write( ":
\n" ); document.write( "4l/3 +2l = 420
\n" ); document.write( ":
\n" ); document.write( "multiply both sides of = by 3
\n" ); document.write( ":
\n" ); document.write( "4l +6l = 1260
\n" ); document.write( ":
\n" ); document.write( "10l = 1260
\n" ); document.write( ":
\n" ); document.write( "l = 126
\n" ); document.write( ":
\n" ); document.write( "w = 2(126)/3 = 84
\n" ); document.write( ":
\n" ); document.write( "***************************************
\n" ); document.write( "length is 126 feet and width is 84 feet
\n" ); document.write( ":
\n" ); document.write( "check the answer
\n" ); document.write( ":
\n" ); document.write( "2(126) +2(84) = 420
\n" ); document.write( ":
\n" ); document.write( "252 +168 = 420
\n" ); document.write( ":
\n" ); document.write( "420 = 420
\n" ); document.write( ":
\n" ); document.write( "answer checks
\n" ); document.write( "****************************************
\n" ); document.write( ": \n" ); document.write( "

\n" );