The polygons are regular polygons. Find the area of the shaded region to the nearest tenth
(An image bellow of a white box inside a shaded box. The white box has a line from the center to the corner labeled 4cm. The shaded box has the same thing but it's 9cm)
This has confused me a lot and I keep getting different answers. I would appreciate some help.
The answers for the quick check are:
1. A) 688.2 ft^2
2. B) 229.1 m^2
3. B) 8.6 ft^2
4. C) 566.9 in^2
5. B) 635.1 m^2
6. 130 or 130.0 (both are acceptable)
and for the practice:
1. D) 173.8 cm^2
2. A) 7554 m^2
3. A) 311.3 km^2
4. C) The area of Pentagon A is equal to 1.53 times the area of Pentagon B
5. D) 48.2 cm^2
6. C) 237.8 in^2
7. C) 20.8 m^2
8. A) 29.7 cm^2
9. D) $51.96
10. C) 24 in^2
... is right, i got 100%
in the white box, half the diagonal is 4. If the box is a square, then the area is 1/2 d^2 = 1/2 * 8^2 = 32
Similarly, the large box has area 1/2 * 18^2 = 162
So I guess the shaded area is 162-32 = 130
… is still correct in 2023 tysm
Oh! Okay. Thanks oobleck!
To find the area of the shaded region, we need to break it down into smaller parts and calculate their areas separately. Here's how you can do it:
Step 1: Calculate the area of the white square.
Since the line from the center to the corner of the white square measures 4 cm, we can determine that the side length of the white square is also 4 cm.
The formula for calculating the area of a square is A = s^2, where A represents the area and s is the side length.
Therefore, the area of the white square is A = 4 cm * 4 cm = 16 cm^2.
Step 2: Calculate the area of the shaded region, which is a square with a side length of 9 cm.
The formula for calculating the area of a square is still A = s^2, where A represents the area and s is the side length.
Therefore, the area of the shaded square is A = 9 cm * 9 cm = 81 cm^2.
Step 3: Calculate the area of the shaded region by subtracting the area of the white square from the area of the shaded square.
Shaded region area = Area of shaded square - Area of white square
Shaded region area = 81 cm^2 - 16 cm^2 = 65 cm^2
Therefore, the area of the shaded region is 65 cm^2 to the nearest tenth.
Note: Be sure to double-check your calculations and make sure you are using consistent units (in this case, centimeters).
I appreciate the help, but my problem here didn't actually give me any sides to figure out how I was going to find the area ;-; Thanks for trying to help though!
TYSM "..."
www.onlinemathlearning.com/area-shaded-region.html
^Copy-paste that link into your search bar and you'll be able to learn how to figure out the answer.
Good luck!