Answer:
Step-by-step explanation:
The octagon is irregular, meaning not all sides have equal length. However, we can break it up into other shapes to find the area.
The octagon shown in the figure is a composite figure as it's composed of other shapes. In the octagon, let's break it up into:
- 4 triangles (corners)
- 3 rectangles (one in the middle, two on top after you remove triangles)
<u>Formulas</u>:
- Area of rectangle with length and width :
- Area of triangle with base and height :
<u>Area of triangles</u>:
All four triangles we broke the octagon into are congruent. Each has a base of 2 and a height of 2.
Thus, the total area of one is
The area of all four is then units squared.
<u>Area of rectangles</u>:
The two smaller rectangles are also congruent. Each has a length of 3 and a width of 2. Therefore, each of them have an area of units squared, and the both of them have a total area of units squared.
The last rectangle has a width of 7 and a height of 3 for a total area of units squared.
Therefore, the area of the entire octagon is
It increased by 7.5% if you subtract the starting value from the new one and then put that answer over the starting value.
Answer:25-11=14 so the fraction would be 11/25
Step-by-step explanation:
25-11=14
11/25 miles
Answer:
r=12
Step-by-step explanation:
Look, we can reverse the problem to get 23-11=r. This means that r=12.
Answer:
31
Step-by-step explanation:
4 squared is 16, and 5 times 3 is fifteen if you add them you get 31