SOLUTION: hello Tutors, I am hoping you could help me solve this question 1. A gardener has 55 feet of fencing to be used to enclose a rectangular garden that has a border 2 feet wide surro

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Question 1095663: hello Tutors, I am hoping you could help me solve this question
1. A gardener has 55 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 itīs width, what will be the dimensions of the garden?

thank you in advance.
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!

Drawing a rough sketch should be a big help in visualizing how to solve this problem....

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.

That rectangle then has perimeter
2%28x%2B4%29%2B2%282x%2B4%29+=+6x%2B16
The 55 feet of fencing the gardener has is to be that perimeter:
6x%2B16+=+55
6x+=+39
x+=+6.5

The dimensions of the garden are x by 2x, or 6.5 feet by 13 feet.