Answer:
2500 Square meters
Step-by-step explanation:
Given the garden area (as a function of its width) as:

The maximum possible area occurs when we maximize the area. To do this, we take the derivative, set it equal to zero and solve for w.
A'(w)=-2w+100
-2w+100=0
-2w=-100
w=50 meters
Since Marquise has 200 meters of fencing to build a rectangular garden,
Perimeter of the proposed garden=200 meters
Perimeter=2(l+w)
2(l+50)=200
2l+100=200
2l=200-100=100
l=50 meters
The dimensions that will yield the maximum area are therefore:
Length =50 meters
Width=50 meters
Maximum Area Possible =50 X 50 =<u>2500 square meters.</u>
x ≠ (π/2) + nπ describes the domain of y = sec x, where n is any integer. The
correct answer between all the choices given is the third choice or letter C. I
am hoping that this answer has satisfied your query and it will be able to help
you, and if you would like, feel free to ask another question.
To find out the number of necklaces that can be made from 72 and 42 beads, think of the Greatest Common Factor of both numbers
Factors of 72
1 × 72
2 × 36
3 × 24
4 × 18
6 × 12
8 × 9
Factors of 42
1 × 42
2 × 21
3 × 14
6 × 7
The Greatest Common Factor is 6, so there are 6 necklaces can be made with equal number of beads
The answers to the questions