What is the area of the composite figure? the sides are 1mile, 3 mile, 1mile,1mile, 6 miles, and 7 mile.
To find the area of the composite figure, we first need to identify the shapes that make up the figure. The given sides form a trapezoid and a rectangle.
The trapezoid has bases of 6 miles and 7 miles, and a height of 1 mile.
The area of a trapezoid is given by: A = 1/2 * (base1 + base2) * height
A = 1/2 * (6 + 7) * 1
A = 1/2 * 13 * 1
A = 6.5 square miles
The rectangle has sides of 1 mile and 3 miles.
The area of a rectangle is given by: A = length * width
A = 1 * 3
A = 3 square miles
Now we add the areas of the trapezoid and rectangle to find the total area of the composite figure:
Total Area = Area of trapezoid + Area of rectangle
Total Area = 6.5 + 3
Total Area = 9.5 square miles
Therefore, the area of the composite figure is 9.5 square miles.