SOLUTION: suppose you are designing a rectangular garden and you have 20 meters of fencing with which to enclose the garden. a. can you enclose a garden that is 7 meters long and 3 meters w

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Question 1165383: suppose you are designing a rectangular garden and you have 20 meters of fencing with which to enclose the garden.
a. can you enclose a garden that is 7 meters long and 3 meters wide with the available fencing? what is the area of the garden?
b. can you enclose a garden that is 8 meters long and 2 meters wide with the available fencing? what is the area of the garden?
c. by computing the area of other possible gardens that can be enclosed with 20 meters of fencing, find or estimate the dimensions of the garden that has the most area.
I am trying to help my son and he has 5 just like this so if at all possible can you show me the steps to solving.
thank you from a grateful parent
Answer by ikleyn(52847) About Me  (Show Source):
You can put this solution on YOUR website!
.

(a)  7 + 3 + 7 + 3 = 20.    YES, you can.

     The area is 7*3 = 21 square meters.



(b)  Do it exactly as in (a)



(c)  Of the rectangles of the given perimeter (20 m in your case)
     only the SQUARE of given perimeter has the maximum area.


     This square has the side, which is  1%2F4  of the perimeter
     (20/4 = 5 meters, in your case).


     So, the maximum area in your case is 5 * 5 = 25 square meters.

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