Question 1095663
<br>Drawing a rough sketch should be a big help in visualizing how to solve this problem....<br>
The width of the garden is x; the length is 2x.  With a border 2 feet wide all around the garden, the rectangle  formed by the garden plus the border has width x+4 and length 2x+4.<br>
That rectangle then has perimeter
{{{2(x+4)+2(2x+4) = 6x+16}}}
The 55 feet of fencing the gardener has is to be that perimeter:
{{{6x+16 = 55}}}
{{{6x = 39}}}
{{{x = 6.5}}}<br>
The dimensions of the garden are x by 2x, or 6.5 feet by 13 feet.