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Area of Rectangles and Triangles
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Area of Rectangles and Triangles
📐 Part 1: Understanding Area
1. What is area?
The distance around the outside of a shape
The space inside a shape measured in square units
The length of the longest side of a shape
The number of corners a shape has
2. Which formula is correct for finding the area of a rectangle?
Area = length + width
Area = length × width
Area = 2 × (length + width)
Area = ½ × length × width
3. Which formula is correct for finding the area of a triangle?
Area = base × height
Area = ½ × base × height
Area = base + height
Area = 2 × base × height
🧮 Part 2: Calculating Area
4. Calculate the area of a rectangle with length = 8 cm and width = 5 cm.
Area = _______ cm²
5. Calculate the area of a triangle with base = 12 cm and height = 6 cm.
Area = _______ cm²
6. A rectangular garden bed measures 3.5 metres by 2.8 metres. What is its area?
Area = _______ m²
7. A triangular sail has a base of 4.2 metres and a height of 3.6 metres. Calculate its area.
Area = _______ m²
🏆 Part 3: Problem Solving & Extension
8. Basic: A rectangular classroom floor is 9 metres long and 6 metres wide. How much carpet is needed to cover the floor?
Answer: _______ m² of carpet
9. Challenge: A triangular piece of land has an area of 45 m² and a base of 10 metres. What is the height of the triangle?
Height = _______ metres
10. Extension: A composite shape is made from a rectangle (8 cm × 5 cm) with a triangle (base 8 cm, height 3 cm) attached to one end. Calculate the total area.
Total area = _______ cm²
11. Explain in your own words why the triangle area formula includes "½":
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