Area of Composite Shapes Worksheet
Calculate the area of various composite shapes, including figures made up of rectangles, triangles, and circles. This worksheet is designed for Grade 10 math students.
Includes
Standards
Area of Composite Shapes
Name:
Date:
Score:
Calculate the area of each composite shape. Show all your work and include appropriate units in your final answer.
1. Find the area of the shape shown below. It consists of a rectangle and a semicircle.
2. Calculate the area of the figure formed by a triangle on top of a square.
3. A rectangular garden measures 12 feet by 8 feet. A circular fountain with a radius of 3 feet is placed in the center. The area of the garden not covered by the fountain is square feet. (Use π ≈ 3.14)
4. A composite shape is made of a square with side length 6 cm and an equilateral triangle attached to one side. What is the total area of the shape?
36 + 9√3 cm²
36 + 6√3 cm²
36 + 18 cm²
45 cm²
5. A shape is composed of a rectangle with dimensions 15 cm by 10 cm, from which a circular hole with a 4 cm diameter has been cut out. Calculate the area of the remaining shape.
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.