Find the area of the composite figure.
*
Captionless Image
5.175 ft
6.65 ft
5.175 ft^2
6.65 ft^2
To find the area of the composite figure, we need to break it down into simpler shapes and then find the area of each shape and sum them up.
The composite figure is made up of a rectangle and a triangle. The dimensions of the rectangle are 6.65 ft by 5.175 ft, so the area of the rectangle is:
Area of rectangle = length x width = 6.65 ft x 5.175 ft = 34.3875 ft^2
The triangle has a base of 6.65 ft and a height of 5.175 ft, so the area of the triangle is:
Area of triangle = 1/2 x base x height = 1/2 x 6.65 ft x 5.175 ft = 17.18125 ft^2
Now, to find the total area of the composite figure, we sum up the areas of the rectangle and the triangle:
Total area = Area of rectangle + Area of triangle
Total area = 34.3875 ft^2 + 17.18125 ft^2
Total area = 51.56875 ft^2
Therefore, the area of the composite figure is 51.56875 ft^2.