What is the area of the composite figure? all sides; 6mi, 3mi, 7mi, 1mi, 1mi, 1mi (1 point) Responses
To find the area of the composite figure, we would first need to identify the individual shapes that make up the composite figure. Based on the given side lengths, we can determine that the composite figure is made up of a rectangle (6mi x 3mi) and two right triangles (7mi, 1mi, 1mi).
To find the area of the rectangle, we would multiply the length by the width:
Area_rectangle = 6mi x 3mi = 18 square miles
To find the area of the right triangles, we can use the formula for the area of a triangle (1/2 x base x height) for each triangle:
Area_triangle1 = 1/2 x 1mi x 1mi = 0.5 square miles
Area_triangle2 = 1/2 x 1mi x 7mi = 3.5 square miles
Now, we can find the total area of the composite figure by adding the areas of the rectangle and the two triangles:
Total area = Area_rectangle + 2(Area_triangle) = 18 + 0.5 + 3.5 = 22 square miles
Therefore, the area of the composite figure is 22 square miles.