Use the image to answer the question. What is the area of the composite figure? (1 point) Responses 31 square miles 31 square miles 25 square miles 25 square miles 28 square miles 28 square miles 21 square miles
To find the area of the composite figure, we need to separate it into simple shapes.
The given shape consists of:
- A rectangle with a length of 8 miles and a width of 4 miles
- A right triangle with a base of 3 miles and a height of 6 miles
- A semicircle with a radius of 5 miles
Area of rectangle = length x width
Area of rectangle = 8 miles x 4 miles
Area of rectangle = 32 square miles
Area of triangle = 0.5 x base x height
Area of triangle = 0.5 x 3 miles x 6 miles
Area of triangle = 9 square miles
Area of semicircle = 0.5 x π x radius^2
Area of semicircle = 0.5 x 3.14 x 5 miles x 5 miles
Area of semicircle = 39.25 square miles
Now, add the areas of all three shapes together to find the total area of the composite figure:
Total area = Area of rectangle + Area of triangle + Area of semicircle
Total area = 32 square miles + 9 square miles + 39.25 square miles
Total area = 80.25 square miles
The area of the composite figure is 80.25 square miles.