Decomposing Shapes Worksheet
Grade 5 math worksheet on decomposing shapes into simpler geometric figures to find area and perimeter.
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Decomposing Shapes
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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: