Area of Composite Shapes
Calculate the area of composite shapes by decomposing them into simpler geometric figures.
Includes
Standards
Topics
Area of Composite Shapes
Name:
Date:
Score:
Read each question carefully and calculate the area of the composite shapes. Show all your work.
1. Find the area of the following composite shape, which consists of a rectangle and a semicircle. The rectangle has a length of 10 cm and a width of 6 cm. The semicircle is attached to one of the 6 cm sides.
2. A composite shape is made of a square with side length 8 meters and an equilateral triangle attached to one of its sides. The area of the square is square meters, and the area of the equilateral triangle is approximately square meters. The total area of the composite shape is approximately square meters.
3. A shape is formed by a rectangle with dimensions 12 cm by 5 cm, and a triangle with a base of 12 cm and a height of 4 cm attached to the 12 cm side. What is the total area of the composite shape?
60 cm²
24 cm²
84 cm²
36 cm²
4. A composite shape is made of two adjacent rectangles. The first rectangle has dimensions 7 inches by 4 inches. The second rectangle has dimensions 5 inches by 3 inches and is attached to the 4-inch side of the first rectangle. Calculate the total area.
5. To find the area of a composite shape, you must always subtract the areas of the individual shapes.
True
False
Related Worksheets
Arcs and Sectors Geometry Worksheet
A Grade 9 math worksheet focusing on calculating arc length, sector area, and related properties of circles.
Area of an Annulus Worksheet
Calculate the area of an annulus using given radii for Grade 9 geometry students.
Lateral Area Practice Worksheet
A Grade 9 math worksheet focusing on calculating the lateral surface area of various 3D geometric shapes including prisms, cylinders, pyramids, and cones.
Altitude of a Triangle Worksheet
Explore the concept of altitude in triangles, including definitions, properties, and construction methods, suitable for Grade 9 geometry students.
Altitude of a Triangle Worksheet
Explore the concept of altitude in triangles, including definitions, properties, and construction methods, suitable for Grade 9 geometry students.
Segment Length Practice
Practice worksheet for calculating segment lengths on number lines and coordinate planes, including midpoints and distances.
Exterior Angle of a Triangle Worksheet
Explore the properties of exterior angles of triangles with this Grade 9 math worksheet, featuring various problem types.
Grade 9 Math: Coordinate Proofs
This worksheet focuses on coordinate proofs, including proving geometric properties on a coordinate plane, calculating distances, midpoints, and slopes.