document.write( "Question 263582: a gardener has 61 feet of fencing to be used to enclose a rectangular garden that has a border 2 feet wide surrounding it. If the length of the garden is to be twice its width, what will be the dimensions of the garden? \n" ); document.write( "
Algebra.Com's Answer #194261 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"a\" = width of garden in ft
\n" ); document.write( "Let \"b\" = length of garden in ft
\n" ); document.write( "given:
\n" ); document.write( "\"b+=+2a\"
\n" ); document.write( "The equation for perimeter is
\n" ); document.write( "\"p+=+2%2A%28a+%2B+4%29+%2B+2%2A%28b+%2B+4%29\" (note that I add 4 ft to the width and length
\n" ); document.write( "to account for the path around the garden)
\n" ); document.write( "\"61+=+2%2A%28a+%2B+4%29+%2B+2%2A%28b+%2B+4%29\"
\n" ); document.write( "\"61+=+2a+%2B+8+%2B+2b+%2B+8\"
\n" ); document.write( "\"61+=+2a+%2B+2b+%2B+16\"
\n" ); document.write( "\"2a+%2B+2b+=+45\"
\n" ); document.write( "And, since \"b+=+2a\"
\n" ); document.write( "\"2a+%2B+2%2A2a+=+45\"
\n" ); document.write( "\"6a+=+45\"
\n" ); document.write( "\"a+=+7.5\"
\n" ); document.write( "\"b+=+2a\"
\n" ); document.write( "\"b+=+15\"
\n" ); document.write( "The width is 7.5 ft and the length is 15 ft
\n" ); document.write( "check:
\n" ); document.write( "\"61+=+2%2A%28a+%2B+4%29+%2B+2%2A%28b+%2B+4%29\"
\n" ); document.write( " \"61+=+2%2A%287.5+%2B+4%29+%2B+2%2A%2815+%2B+4%29\"
\n" ); document.write( "\"61+=+2%2A11.5+%2B+2%2A19\"
\n" ); document.write( "\"61+=+23+%2B+38\"
\n" ); document.write( "\"61+=+61\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" ); document.write( "
\n" );