One hundred meters of fencing is available to enclose a rectangular area next to river give a function
A that can represent the area that can be enclosed, in terms of X?
what if
A= ________x^2 + ______x
what should I insert?
Because the river is there, only 3 sides need to be fenced.
A = x ( 100 - 2 x ) =
100 x - 2 x ^ 2 =
2 ( 50 x - x ^ 2 )
A(x)= 50x - x²/ 2
f(a)= x+2y=100
f(a)=50x-0.5x²
Why you use 2y,can you please clarify??
lenght = x
width = y
120 meters fencing is available to enclose a rectangular area next to river the function a that can represent the area that can be enclose in terms of x.
To solve this problem, let's start by considering the diagram. We have a rectangular area next to a river, and 100 meters of fencing is available.
Let's assume the width of the rectangle is 'x' meters. Since the rectangle is next to a river, we only need to enclose three sides of the rectangle: the two lengths and the width adjacent to the river.
The length of the rectangle will be \(100 - 2x\) because we subtract the two lengths (each with a width of 'x') from the total available fencing.
Now, we can calculate the area of the rectangle by multiplying the length and the width. Thus, the function A that represents the area in terms of x would be:
\(A(x) = (100 - 2x) \times x\)
This function A(x) gives you the area that can be enclosed by the given length of fencing, with a width of 'x'.
let X equal the length along the river
so 50-X is the distance away from the river
A = 50 X - X^2