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
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.