3 years ago

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

1 answer:

4 0

What he said ^^^^ that should be the right answer

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Musya8 [376]

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Sloan [31]

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3 years ago

adoni [48]

Hence the maximum possible area is 2500 square meteres

Given the area of the rectangular garden expressed as;

$A(x)=-x^2+100x\\$

The maximum area occurs when dA(x)/dx = 0

$\frac{dA(x)}{dx} = -2x + 100\\0= -2x + 100\\ 2x = 100\\x = \frac{100}{2}\\x = 50$

Next is to get the maximum area possible. Substitute x = 50 into the original function as shown;

$A(50)= -50^2 + 100(50)\\A(50) = -2500+5000\\A(50) = 2500$

Hence the maximum possible area is 2500 square meters

5 0

3 years ago