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.
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Answer:
5
Step-by-step explanation:
use PEMDAS to solve
9-5=4
4^2=16
16/8=2
3+2=5
Answer:
2. 12.08
3. 7.74
Step-by-step explanation:
a squared + b squared = c squared
2. 5 squared = 25, 11 squared = 121, 25 + 121 = 146, the squre root of 146 is 12.08
3.19 squared = 361, 421 - 361 = 60 60 squared = 7.74
Answer:
52 =4x 13
Step-by-step explanation:
8000/ 2 = x/16
cross multiply
2x = 8000 * 16
2x = 128000
x = 128000/2
x = 64000 crocus flowers
