Decomposing Shapes Worksheet
Grade 5 math worksheet on decomposing shapes into simpler geometric figures to find area and perimeter.
Includes
Standards
Topics
Decomposing Shapes
Name:
Date:
Score:
Read each question carefully and follow the instructions to decompose shapes and find their area or perimeter.
1. Decompose the irregular shape below into two rectangles. Label the dimensions of each rectangle and then find the total area.
Rectangle 1 Area:
Rectangle 2 Area:
Total Area:
2. Draw a line to decompose the shape below into two simpler shapes. Then, find the perimeter of the original shape.
Perimeter:
Complete the following sentences using the correct vocabulary words.
3. To find the area of a complex shape, you can it into simpler shapes like rectangles or triangles.
4. The sum of the lengths of all sides of a shape is called its .
5. The amount of surface a two-dimensional shape covers is its .
6. Which of these is NOT a common way to decompose a complex shape?
Cutting it into smaller rectangles
Rearranging its parts to form a new shape
Drawing lines to divide it into triangles
Folding it into a 3D object
7. A rectangular garden is 12 feet long and 8 feet wide. A square flower bed with sides of 3 feet is placed in one corner of the garden. Draw the garden and flower bed, then find the area of the garden NOT covered by the flower bed.
Area of garden:
Area of flower bed:
Area not covered:
Related Worksheets
Grade 5 Math: Enlargement
This worksheet focuses on understanding and applying the concept of enlargement in geometry for Grade 5 students.
Composing Shapes Worksheet (Grade 5)
A Grade 5 math worksheet focused on composing and decomposing two-dimensional shapes, understanding their properties, and calculating perimeter and area.
Area of 2D Figures Worksheet
Grade 5 Math worksheet focusing on calculating the area of various two-dimensional shapes including rectangles, squares, and triangles.
Understanding Vertices - Grade 5 Math
A Grade 5 math worksheet focusing on identifying and counting vertices in 2D and 3D shapes.
Area of Plane Figures - Grade 5 Math
This worksheet helps Grade 5 students practice calculating the area of various 2D plane figures, including rectangles, squares, and triangles.
Grade 5 Triangle Properties Worksheet
Explore the properties of triangles, including types, angles, and sides, with this engaging Grade 5 math worksheet.
Geometric Maze Challenge
Engage with geometric concepts while navigating through challenging mazes to reinforce understanding of shapes, coordinates, and spatial reasoning.
Segment Midpoint Worksheet
Practice identifying and calculating the midpoint of line segments on a number line and coordinate plane.