SOLUTION: Using 36 feet of rope, enclose a rectangle with the largest possible area. Next, enclose a rectangle with the
smallest possible area. In both cases, use dimensions that are whole
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Question 1155452: Using 36 feet of rope, enclose a rectangle with the largest possible area. Next, enclose a rectangle with the
smallest possible area. In both cases, use dimensions that are whole feet.
Answer by ikleyn(52878) (Show Source): You can put this solution on YOUR website!
.
When the perimeter is given, a rectangle of the maximum area is the square with the side length of the perimeter.
It is well known fact, See, for example, the lesson
- A rectangle with a given perimeter which has the maximal area is a square
in this site.
So, in your case, the answer to your first question is a square with the side length of = 9 feet.
Regarding the second question, a rectangle should have dimensions 1 ft by 17 ft.
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