There’s no picture? Did you make a mistake
Yes. It is equivalent to 3. Combine like terms
Answer:
(a)
(b) ![450\text{ feet and }900\text{ feet}](https://tex.z-dn.net/?f=450%5Ctext%7B%20feet%20and%20%7D900%5Ctext%7B%20feet%7D)
Step-by-step explanation:
GIVEN: Suppose that the owner of a farm has
of fencing available, and they would like to enclose a rectangular portion of the land to allow animals to graze along side a straight portion of a river. The animals don't like the river water, so fencing is not necessary along the river.
TO FIND: What is the largest area that they can enclose using the fencing? What are the necessary dimensions of fencing in order to achieve that area?
SOLUTION:
Let the length and width of area enclosed be ![a\text{ and }b](https://tex.z-dn.net/?f=a%5Ctext%7B%20and%20%7Db)
as one side of area does not require fencing, total perimeter of rectangular portion.
![2a+b=1800](https://tex.z-dn.net/?f=2a%2Bb%3D1800)
![b=1800-2a](https://tex.z-dn.net/?f=b%3D1800-2a)
Area of rectangular portion ![=\text{length}\times\text{width}](https://tex.z-dn.net/?f=%3D%5Ctext%7Blength%7D%5Ctimes%5Ctext%7Bwidth%7D)
![=ab](https://tex.z-dn.net/?f=%3Dab)
putting value of
in equation
![area=a(1800-2a)](https://tex.z-dn.net/?f=area%3Da%281800-2a%29)
![area=1800a-2a^2](https://tex.z-dn.net/?f=area%3D1800a-2a%5E2)
to maximize area ![\frac{d(area)}{da}=0](https://tex.z-dn.net/?f=%5Cfrac%7Bd%28area%29%7D%7Bda%7D%3D0)
![1800-4a=0](https://tex.z-dn.net/?f=1800-4a%3D0)
![a=450\text{ feet}](https://tex.z-dn.net/?f=a%3D450%5Ctext%7B%20feet%7D)
now,
![b=1800-2a](https://tex.z-dn.net/?f=b%3D1800-2a)
![b=900\text{ feet}](https://tex.z-dn.net/?f=b%3D900%5Ctext%7B%20feet%7D)
area of rectangular portion ![=450\times900=405000\text{ feet}^2](https://tex.z-dn.net/?f=%3D450%5Ctimes900%3D405000%5Ctext%7B%20feet%7D%5E2)
Hence largest area of enclosure is
and length and width are ![450\text{ feet and }900\text{ feet}](https://tex.z-dn.net/?f=450%5Ctext%7B%20feet%20and%20%7D900%5Ctext%7B%20feet%7D)
1) (-7,2)
y=2, -x+4=11, -x=11-4=7, x=-7
2) (-3,4)
-x+2y=11
y=4, -x+8=11, -x=3, x=-3
3) (1,6)
-x+2y=11
y=6, -x+12=11,-x=-1, x=1
Answer:
the length of the square wall would be 16 FT
Step-by-step explanation:
because to find the area of a square you take the length squared so square root the area to find your length