www.onlinemathlearning.com/area-shaded-region.html
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(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.
^Copy-paste that link into your search bar and you'll be able to learn how to figure out the answer.
Good luck!
Similarly, the large box has area 1/2 * 18^2 = 162
So I guess the shaded area is 162-32 = 130
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
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).