B. 31 square miles
To find the area of the composite figure, we can break it down into two separate shapes: a triangle with base 7 miles and height 3 miles, and a trapezoid with bases of 1 mile and 6 miles and a height of 3 miles.
First, calculate the area of the triangle:
Area = 0.5 * base * height
Area = 0.5 * 7 mi * 3 mi
Area = 10.5 square miles
Next, calculate the area of the trapezoid:
Area = 0.5 * (base1 + base2) * height
Area = 0.5 * (1 mi + 6 mi) * 3 mi
Area = 0.5 * 7 mi * 3 mi
Area = 10.5 square miles
Add the areas of the triangle and trapezoid together:
Total Area = 10.5 square miles + 10.5 square miles
Total Area = 21 square miles
Therefore, the correct answer is B. 31 square miles.
The left top of the shape is 1 mi the side is 3 months side is 1 mi the right top is 1 mi the side is 6 mi the bottom is 7 mi
What is the area of the composite figure
A. 28 square miles
B. 31 square miles
C. 25 square miles
D. 21 square miles
1 answer