Answer:
42 un²
Step-by-step explanation:
Hey there!
For this question since it's not a regular polygon, im going to be drawing a box around the shape (refer to attachment).
Step 1:
Im going to find the area of my box first. My process to find the actual area of the shape is to subtract the areas of the corners which is not in the actaual polygon.
Step 2:
Im going to find the area of each corner which is not in the actual polygon.
- Top Right: 1/2(2 * 3) => note the corners are all triangles
- Top Right: 1/2(6)
- Top Right: 3
- Top Left: 1/2(4 * 2)
- Top Left: 1/2(8)
- Top Left: 4
- Bottom Right: 1/2(4 * 2)
- Bottom Right: 1/2(8)
- Bottom Right: 4
- Bottom Left: 1/2(2 * 3)
- Bottom Left: 1/2(6)
- Bottom Left: 3
Step 3:
Now, Im going to subtract the corners from my rectangle to find the area of my polygon:
- 56 un² - 2(3 un²) - 2(4 un²)
- 56 un² - 6 un² - 8 un²
- 50 un² - 8 un²
- 42 un²
The area of the polygon is 42 un²
-Chetan K
