The area of a shape is the amount of space a shape can occupy, while the perimeter is the sum of its lengths.
- <em>The perimeter is </em>
<em>units</em> - <em>The area of the sanctuary is 27 square units</em>
We have:

<u>Perimeter</u>
See attachment for the layout of the sanctuary



From the attachment, the sides are
<em>AB, BF, FC, CD, DE and EA</em>
Start by calculating the length of each side using the following distance formula:

So, we have:






So, the perimeter (P) is:



<em>Hence, the perimeter is </em>
<em>units</em>
<u />
<u>Area</u>
To calculate the area, we need to divide the sanctuary into three.
- <em>Triangle ABF</em>
- <em>Triangle EFA</em>
- <em>Trapezium CDEF</em>
The area of ABF is:

Where:




The area of EFA is:

Where:


So:


The area of CDEF is:

Where



So, we have:



So, the area of the sanctuary is:




<em>Hence, the area of the sanctuary is 27 square units</em>
Read more about areas and perimeters at:
brainly.com/question/11957651
The quadratic function f(x) = 2x² – 44x + 185 is written in vertex form is f(x) = 2(x – 11)² – 57.
<h3>What is a quadratic equation?</h3>
It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.
The quadrattic equation is f(x) = 2x² – 44x + 185.
Take common 2 from the equation, we have

Add and subtract 121, we have
![f(x) = 2(x^2 - 22x +121 - 121 )+ 185\\\\f(x) = 2[(x^2 - 11)^2-121]+ 185\\\\f(x) = 2(x-11)^2 - 242 + 185\\\\f (x ) = 2(x-11)^2 -57](https://tex.z-dn.net/?f=f%28x%29%20%3D%202%28x%5E2%20-%2022x%20%2B121%20-%20121%20%29%2B%20185%5C%5C%5C%5Cf%28x%29%20%3D%202%5B%28x%5E2%20-%2011%29%5E2-121%5D%2B%20185%5C%5C%5C%5Cf%28x%29%20%3D%202%28x-11%29%5E2%20-%20242%20%2B%20185%5C%5C%5C%5Cf%20%28x%20%29%20%3D%202%28x-11%29%5E2%20-57)
And we know that the standard equation
f(x) = a(x - h)² + k
On comparing, we have
The vertex (h, k) is (11, -57).
More about the quadratic equation link is given below.
brainly.com/question/2263981
Answer:
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Step-by-step explanation:
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Median is middle value, mode is number that appears the most.
4 +5 +7+7+8+10 = median = 7, mode = 7
Like any other time you divide one fraction by the other...
(a/b)/(c/d)=(a/b)(d/c)=(ad)/(bc)
So in this case you actually have:
3x^3/(4y) * 9/x multiply
27x^3/(4xy) one x cancels out leaving you with
27x^2/(4y)
Second answer down :P