As a practical equation, this one doesn't make much sense -- why would the profit per person have a term proportional to the number of people? Let's just go with it.
![18x + \dfrac{35}{x}](https://tex.z-dn.net/?f=18x%20%2B%20%5Cdfrac%7B35%7D%7Bx%7D)
![= \dfrac{18x^2}{x} + \dfrac{35}{x}](https://tex.z-dn.net/?f=%3D%20%5Cdfrac%7B18x%5E2%7D%7Bx%7D%20%2B%20%5Cdfrac%7B35%7D%7Bx%7D)
![= \dfrac{18x^2 + 35}{x}](https://tex.z-dn.net/?f=%3D%20%5Cdfrac%7B18x%5E2%20%2B%2035%7D%7Bx%7D)
That's the answer to the first part.
35/x represents a portion of the profit that's 35/x per person, or a constant $35 per tour.
Area = 2831.25 square yards
Perimeter =215.6 yards
EXPLANATION
The area and perimeter of a rectangular field are found using the formula for finding the area and perimeter of a rectangle respectively.
That means, area of the rectangular field is given by the formula,
![A= l\times w](https://tex.z-dn.net/?f=A%3D%20l%5Ctimes%20w)
We just have to substitute
![l=62.5](https://tex.z-dn.net/?f=l%3D62.5)
and
![w= 45.3](https://tex.z-dn.net/?f=w%3D%2045.3)
into the given formula and evaluate.
This implies that;
![A= 62.5\times 45.3](https://tex.z-dn.net/?f=A%3D%2062.5%5Ctimes%2045.3)
This gives the area of the rectangular-shaped field to be;
![A= 2831.25](https://tex.z-dn.net/?f=A%3D%202831.25)
square yards.
Now for the perimeter, we use the formula
![P=2w +2l](https://tex.z-dn.net/?f=P%3D2w%20%2B2l)
Or
![P=2(w +l)](https://tex.z-dn.net/?f=P%3D2%28w%20%2Bl%29)
Substituting the values for the length and width gives,
![P=2(62.5+45.3)](https://tex.z-dn.net/?f=P%3D2%2862.5%2B45.3%29)
![\Rightarrow P=2(107.8)](https://tex.z-dn.net/?f=%5CRightarrow%20P%3D2%28107.8%29)
![\Rightarrow P=215.6](https://tex.z-dn.net/?f=%5CRightarrow%20P%3D215.6)
Hence the perimeter of the rectangular shaped field is 215.6 yards.
Answer:
Hi, there! The total surface area of that prism is 118 cm^2.
Step-by-step explanation:
The three rectangles on the side are called the lateral area, and they add up to 98(I'm assuming you know how to find the area of a 2d shape), and as for the triangles on the sides, you can just use the formula which is
.
Hope this helps :)