We know the perimeter formula would be 1200=2x+2y. And the area will be A=x*y
We can to take the derivative of the area formula to find where it is a max but we must first substitute something in from the first formula so we only have one variable.
1200-2x=2y
600-x=y
A=(x)*(600-x)
A=600x-x^2
Now we take the derivative:
A'=600-2x (set equal to 0 and solve)
0=600-2x
2x=600
x=300
Then when we plug this into the perimeter formula, we can solve for y
1200=2x+2y
1200=2(300)+2y
1200=600+2y
600=2y
y=300
So both the length and width are 300 yards, and the area would be 90,000 square yards
Hope this helps
Answer:
The answer is going to be C.
Step-by-step explanation:
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Answer:
Step-by-step explanation:
The area of a parallelogram can be calculated with the following formula:
Where "b" is the length of any base of the parallelogram and "h" is the height.
In this case you can identify in the figure provided in the exercise, that:
Then, knowing those values, you can substitute them into the formula shown above, as below:
Finally, you must evaluate in order to find the area of the given parallelogram.
You get the following result:
Answer: 149.5 quarts
Step-by-step explanation:
From the question, we are informed that Jason has a container holding 11.5 quarts of liquid and that he wants to find enough containers to hold 13 times this amount of liquid.
The number of quarts of liquid that the containers need to hold will be:
= 13 × 11.5
= 149.5 quarts
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