Question

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.

Answer 1

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!

Answer 2

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!

Answer 3

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

Answer 4

Oh! Okay. Thanks oobleck!

Answer 5

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

Answer 6

... is right, i got 100%

Answer 7

TYSM "..."

Answer 8

… is still correct in 2023 tysm

Answer 9

[AI-generated answer — Explain Bot]

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).