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Area Substitution Problems
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Area Substitution Problems
📐 Part 1: Formula Application
Remember: Triangle Area = ½ × base × height, Parallelogram Area = base × height
1. Find the area of a triangle with base 12 cm and height 8 cm.
2. A parallelogram has a base of 15 m and height of 6 m. Calculate its area.
3. What is the area of a triangle with base 9 cm and height 14 cm?
63 cm²
126 cm²
23 cm²
46 cm²
🔍 Part 2: Solving for Unknowns
4. A triangle has an area of 42 cm² and a height of 12 cm. Find the length of the base.
5. A parallelogram has an area of 72 m² and a base of 9 m. What is the height?
6. The area of a triangle is 30 cm² and the base is (x + 4) cm. The height is 6 cm. Find x.
📝 Part 3: Word Problems
7. Sarah's triangular garden has a base of 8 metres and she knows the area is 28 m². What is the height of her garden?
8. A parallelogram-shaped car park has a base of (2x + 3) metres, height of 10 metres, and area of 70 m². Find the value of x.
9. Which formula would you use to find the area of a parallelogram?
A = ½ × b × h
A = b × h
A = b + h
A = 2 × b × h
10. Explain in your own words how to solve for an unknown dimension when you know the area:
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