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Licemer1 [7]
3 years ago
6

A beach has to enclose a rectangular area, because some endangered species are nesting there. They have 200 feet of rope to rope

off the area with. What is the maximum area that they can rope off?
Mathematics
1 answer:
GuDViN [60]3 years ago
4 0
The maximum area enclosed is a square, then the area will be :

side^2 = (perimeter/4)^2 = (200 feet/4)^2 =  50^2 feet^2 = 2500 feet^2.

We can prove that this is a square:

Call x one side, then the other side is: (200 -2x) / 2 = 100 - x

And the area , S = x(100-x) = 100x - x^2

Maximum area => S' = 0 = 100 -2x => 2x = 100 => x =100/2 = 50

=> 100 - x = 100 - 50 = 50.

Then, when showed that the two sides are equal to 50 feet, and the shape enclosed is a square with area = 2500 ft^2.

 
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Corrected question;

A quantity a varies inversely as a quantity b, if, when b changes a changes in the inverse ratio. What happens to the quantity a if the quantity b doubles?

Step-by-step explanation:

Analysing the question;

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3 years ago
select yes or no to indicate if a rectangle with the given dimensions whould have a perimeter of 50 inches
umka21 [38]
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