Composite Shapes and Perimeter

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Date:

📐 Part 1: Understanding Composite Shapes

1. A composite shape is made from a rectangle (8cm × 4cm) and a square (3cm × 3cm) joined together. What is the perimeter of the composite shape?

Answer: _______ cm

2. Circle the composite shapes below:

A single rectangle

Two triangles joined together

A circle

A rectangle with a square attached

3. Look at this L-shaped garden bed. The missing side length is _______ metres.

Hint: The top edge is 12m, the right edge is 8m, the bottom right section is 5m, and the bottom edge is 7m.

📏 Part 2: Calculating Perimeter

4. Sarah's backyard has this shape. Calculate the perimeter.

Dimensions: 15m, 8m, 6m, 4m, 9m, 12m (going around the shape)

Perimeter = _______ metres

5. A composite shape is made from two rectangles. Rectangle A is 10cm × 6cm. Rectangle B is 4cm × 3cm and shares one side with Rectangle A. What is the shortest possible perimeter?

Shortest perimeter = _______ cm

6. Draw and label a composite shape made from a triangle and rectangle that has a perimeter of 24cm.

🧩 Part 3: Problem Solving

7. Tom is building a fence around his T-shaped vegetable patch. The measurements are shown below. One side length is missing. If the perimeter is 34 metres, what is the missing side length?

Known sides: 8m, 5m, 3m, 4m, 5m, 6m, and one unknown side

Missing side = _______ metres

8. Which statement about perimeter is correct?

Perimeter is the area inside a shape

Perimeter is the distance around the outside of a shape

Perimeter is only measured in square units

Composite shapes cannot have perimeters

9. Explain in your own words how to find the perimeter of a composite shape.