Area of Mixed Shapes Worksheet
Calculate the area of various composite shapes by breaking them down into simpler geometric figures, suitable for 7th-grade math students.
Includes
Standards
Topics
Area of Mixed Shapes
Name:
Date:
Score:
Read each question carefully and calculate the area of the mixed shapes. Show your work for full credit. Remember to use the correct units for your answers.
1. Find the area of the figure below. All angles are right angles.
2. Calculate the area of the shaded region. The outer rectangle has a length of 12 ft and a width of 8 ft. The inner square has sides of 4 ft.
3. Which formula would you use to find the area of a semicircle with radius 'r'?
A = πr²
A = 2πr
A = ½πr²
A = r²
4. To find the area of a composite figure, you typically break it down into simpler shapes like , , and .
5. The area of a triangle is calculated by multiplying its base by its height.
True
False
6. A rectangular garden measures 15 meters by 10 meters. There is a circular pond in the center with a radius of 3 meters. What is the area of the garden available for planting?