The dimensions of the garden that will require the least amount of fencing are 450 m and 900 m and the perimeter of the area is 1800 m.
<h3>What is the area of the rectangle?</h3>
It is defined as the area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
Let's suppose x and y are the sides of the rectangular garden and y is the parallel to the river.
Then according to the problem:
2x + y = P ..(1)
P is the perimeter of the rectangle.
xy = 405000 (area of the rectangle)
Plug the value of y in the equation (1) from the above equation.
P(x) = 2x + 405000/x
P'(x) = x—405000/x² = 0
x = 450 m
P''(x) > 0 hence at x = 450 the value of P(x) is minimum.
y = 405000/450
y = 900 m
P(min) = 1800 m
Thus, the dimensions of the garden that will require the least amount of fencing are 450 m and 900 m and the perimeter of the area is 1800 m.
Learn more about the rectangle here:
brainly.com/question/15019502
#SPJ4
GCF, Greatest Common Factor.
Nobody goes around with lists of greatest common factors in their head.
When we need to know one, we grab the nearest pencil and work it out.
The factors of 40 are 1, 2, 4, 5, 8, 10, 20, and 40 .
The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36 .
The common factors of 35 and 40 are 1, 2, and 4 .
The biggest one is 4 .
This rule shows how we transition the x-coordinate and y-coordinate when finding B'.
In this rule, it shows us what to add/subtract from the x-value and y-value in the coordinate. We can see that it wants us to subtract 5 from the x-value (based on the "x - 5") and that it wants us to add 9 to the y-value (based on the "y + 9"). Based on this information, we can find B':
The "y-coordinate" of B' is 6.
Answer:
The value of y is 12
Step-by-step explanation:
y∝x
y = kx
y = 2x
when x = 6, y = 2(6)
= 12
(Correct me if i am wrong)
