Area pf composite figure
2mi
8mi
9mi
5mi
2mi
2mi
To find the area of a composite figure, we need to first break it down into simpler shapes and then calculate the area of each shape.
In this case, the composite figure can be divided into three shapes: a rectangle, a triangle, and a trapezoid.
Rectangle:
Length = 8 miles
Width = 2 miles
Area = Length x Width = 8 mi x 2 mi = 16 square miles
Triangle:
Base = 5 miles
Height = 2 miles
Area = 0.5 x Base x Height = 0.5 x 5 mi x 2 mi = 5 square miles
Trapezoid:
Bases = 9 miles and 2 miles
Height = 2 miles
Area = 0.5 x (Base1 + Base2) x Height = 0.5 x (9 mi + 2 mi) x 2 mi = 11 square miles
Now, we add up the areas of the three shapes to find the total area of the composite figure:
Total Area = 16 square miles + 5 square miles + 11 square miles = 32 square miles
Therefore, the area of the composite figure is 32 square miles.