Given the values in the table on the left come from
1 answer:
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<u><em>Answer: </em></u>
<u><em>=31 *The answer shouldn't have a remainder.*</em></u>
Explanation:
Divide by the numbers.
Multiply by the numbers.
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Answer:
<em>The largest rectangle of perimeter 182 is a square of side 45.5</em>
Step-by-step explanation:
<u>Maximization Using Derivatives</u>
The procedure consists in finding an appropriate function that depends on only one variable. Then, the first derivative of the function will be found, equated to 0 and find the maximum or minimum values.
Suppose we have a rectangle of dimensions x and y. The area of that rectangle is:
And the perimeter is
We know the perimeter is 182, thus
Simplifying
Solving for y
The area is
Taking the derivative:
Equating to 0
Solving
Finding y
The largest rectangle of perimeter 182 is a square of side 45.5