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:
Related Worksheets
Scaled Copies in Geometry
Explore the properties of scaled copies, including scale factors, corresponding angles, and side lengths. This worksheet is designed for Grade 10 Geometry students.
Heron's Formula Worksheet - Grade 10
Calculate the area of triangles using Heron's Formula with this comprehensive Grade 10 math worksheet.
Hexaflexagon Exploration
Explore the fascinating world of hexaflexagons, their construction, properties, and mathematical principles.
Slicing 3D Figures Worksheet
Explore cross-sections of various 3D geometric figures, including prisms, pyramids, cylinders, and cones, with this Grade 10 math worksheet.
Parts of a Circle Worksheet
Identify and define the various parts of a circle, including radius, diameter, chord, secant, tangent, arc, and sector.
Grade 10 Geometry: Secants
A Grade 10 math worksheet focusing on understanding and applying properties of secants in circles.
Similar Polygons Worksheet
A Grade 10 Math worksheet covering similar polygons, including identifying corresponding sides and angles, and calculating missing side lengths.
Equation of a Circle Worksheet
Practice identifying, writing, and graphing the equation of a circle in standard form.