Westonci.ca is your go-to source for answers, with a community ready to provide accurate and timely information. Experience the convenience of getting reliable answers to your questions from a vast network of knowledgeable experts. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.
Sagot :
Dimension of maximize area is, length = 1581 m and breadth = 790.5 m.
Given that a rectangular plot of land adjacent to a river is to be divided into two equal plots. And 3162 ft of fencing to enclose the plot.
Consider the length is L and breadth is B of the plot.
Therefore the perimeter = L + 2B = 3162
⇒ L = 3162 - 2B
We know that area is the product of length into breadth i.e,
Area = L × B
= (3162 - 2B) × B
Area = 3162B - 2B²
The maximum of the quadratic expression is
ax² + bx + c is at s = [tex]\frac{-b}{2a}[/tex] if a < 0.
Now we will calculate maximum point of the equation,
B = [tex]\frac{-3162}{2(-2)}[/tex]
B = 790.5
Now we will find the value of length,
L = 3162 - 2B
= 3162 - 2(790.5)
= 3162 - 1581
L = 1581
Hence the length of the rectangular plot is 1581 m and bredth is 790.5 m.
Therefore the maximize area = 1581 × 790.5 =124978
To know more about area here
https://brainly.com/question/29038314
#SPJ4
Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.
