Area of Compound Figures Worksheet
Calculate the area of various compound figures by decomposing them into simpler shapes. Includes problems with geometric diagrams and real-world applications.
Includes
Standards
Topics
Area of Compound Figures
Name:
Date:
Score:
Read each question carefully and calculate the area of the compound figures. Show all your work.
1. Find the area of the figure shown below. (All angles are right angles)
Show your work:
2. Calculate the area of the figure composed of a rectangle and a semicircle.
Show your work:
3. A composite shape is made up of a square with side length 7 inches and an equilateral triangle with side length 7 inches attached to one side of the square. The total area of the composite shape is square inches. (Round to two decimal places if necessary).
4. A garden is shaped like a rectangle measuring 15 meters by 10 meters, with a triangular flower bed (base 10 meters, height 4 meters) removed from one corner. What is the area of the garden?
150 sq m
130 sq m
110 sq m
100 sq m
5. A window is in the shape of a rectangle surmounted by a semicircle. The rectangular part is 4 feet wide and 6 feet high. Find the total area of the window.
Show your work: