Answer:
![Area = 287\ in^2](https://tex.z-dn.net/?f=Area%20%3D%20287%5C%20in%5E2)
Step-by-step explanation:
Given
![Length = 20.5](https://tex.z-dn.net/?f=Length%20%3D%2020.5)
![Space = 4.25](https://tex.z-dn.net/?f=Space%20%3D%204.25)
![Panels = 3](https://tex.z-dn.net/?f=Panels%20%3D%203)
See attachment
Required
The area of one panel
From the attachment, the total width is 50.5in.
i.e.
![Total\ Width = 50.5](https://tex.z-dn.net/?f=Total%5C%20Width%20%3D%2050.5)
Given that there are 2 spaces between the 3 panels and each space has a length of 4.25 in.
The reduced width is:
![Reduced\ Width = 50.5 - 2 * 4.25](https://tex.z-dn.net/?f=Reduced%5C%20Width%20%3D%2050.5%20-%202%20%2A%204.25)
![Reduced\ Width = 42](https://tex.z-dn.net/?f=Reduced%5C%20Width%20%3D%2042)
At this point, we can calculate the width of one panel by dividing the reduced width by the number of panels (3).
![Width = \frac{42}{3}](https://tex.z-dn.net/?f=Width%20%3D%20%5Cfrac%7B42%7D%7B3%7D)
![Width = 14](https://tex.z-dn.net/?f=Width%20%3D%2014)
The area of one is:
![Area = Length * Width](https://tex.z-dn.net/?f=Area%20%3D%20Length%20%2A%20Width)
![Area = 20.5 * 14](https://tex.z-dn.net/?f=Area%20%3D%2020.5%20%2A%2014)
![Area = 287\ in^2](https://tex.z-dn.net/?f=Area%20%3D%20287%5C%20in%5E2)
To find the common factors between two numbers, you must first break the numbers down into factors, and then find all common factors.
Let's break down 88.
88: 2 x 44, 4 x 22, 8 x 11.
Now let's break down 24.
24: 2 x 12, 3 x 8, 4 x 6.
Now that we've factored both numbers, let's select all the common factors.
Common factors:
1, 2, 4, 8.
I hope this helps!
Answer:
- Yes, diagonals bisect each other
Step-by-step explanation:
<em>See attached</em>
Plot the points on the coordinate plane
Visually, it is seen that the diagonals bisect each other.
We can prove this by calculating midpoints of AC and BD
<u>Midpoint of AC has coordinates of:</u>
- x = (1 - 1)/2 = 0
- y = (4 - 4)/2 = 0
<u>Midpoint of BD has coordinates of:</u>
- x = (4 - 4)/2 = 0
- y = (-1 + 1)/2 = 0
As per calculations the origin is the bisector of the diagonals.
Answer: 35 square centimeters
Step-by-step explanation: