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

Algebra.Com
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)   (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

The 55 feet of fencing the gardener has is to be that perimeter:




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

Hello Tutors, I am having trouble answering two questions: 1. An oil tanker can be (answered by addingup)
A gardener has 73 feet of fencing to be used to enclose a rectangular garden that has a... (answered by ikleyn)
Question Help A gardener has 37 feet of fencing to be used to enclose a... (answered by Boreal)
I have been struggling to figure out this math problem and I was wondering if someone... (answered by scott8148)
Hey there Tutors,I really need help with this qestion,it makes no sense to me :(... (answered by mananth,rfer)
A gardener has 37 ft of fencing to be used to enclose a rectangular garden that has a... (answered by josmiceli)
Good morning distinguished Tutors,i kindly need help with the following question-------"A (answered by stanbon)
hi, i was wondering if someone could help me solve this problem, and show me how to do... (answered by stanbon,Edwin McCravy)
A gardener has 37 feet of fencing to be used to enclose a rectangular garden that has a... (answered by ikleyn)