ABCD is a rectangle with AB = 10 cm and BC = 6 cm. E is a point on BC such that EC = 4 cm. Find the area of triangle ADE.
- 12 cm²
- 24 cm²
- 30 cm²
- 60 cm²
Need a hint?
Take AD as the base. What is the perpendicular distance from E to AD?
Worked answer
- AD is opposite BC, so AD = 6 cm and AD is the base of triangle ADE.
- The height is the perpendicular distance from E to side AD, which equals AB = 10 cm.
- Area of triangle ADE = 1/2 × 6 × 10 = 30 cm².
Answer: 30 cm²
The mistake this question tests
Habit
Area and perimeter formulas
Pupils often use EC = 4 cm as the height, which is the distance from E to corner C, not to side AD, giving 12 cm².
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