Area of Complex Figures

Area of Complex Figures Worksheet

Read each question carefully and calculate the area of the complex figures. Show all your work.

1. Calculate the area of the figure below. All angles are right angles.

2. Find the area of the shaded region in the figure below. The outer shape is a rectangle and the inner shape is a triangle.

3. To find the area of a complex figure, you can often   it into simpler shapes like rectangles, triangles, or circles. Then, calculate the area of each simpler shape and   or   them as needed.

4. A composite figure is made up of a semicircle on top of a rectangle. The rectangle has a length of 12 cm and a width of 8 cm. The diameter of the semicircle is equal to the width of the rectangle. What is the total area of the composite figure? (Use π ≈ 3.14)

5. A garden is shaped like a rectangle with dimensions 15 meters by 10 meters, with a triangular flower bed cut out from one corner. The triangle has a base of 4 meters and a height of 3 meters. What is the area of the garden remaining for grass?