Perimeter and Area · 5 sample questions from the school syllabus. Try each one, then open the answer and the worked solution.
1. What is the formula for the area of a triangle?
- A21 x base x height
- Bbase x height
- C2 x base x height
- Dbase + height
Show answer
Answer: A) 21 x base x height
The area of a triangle is half the product of its base and the corresponding height: Area = 21 x base x height.
4. The base of a triangle is 3 times its height.
If the area of the triangle is 96 sq cm, find the height.
Show answer
Answer: D) 8
Let height = h, then base = 3h. Area = 21 x 3h x h = 23h2 = 96. So h² = 64, giving h = 8 cm.
5. A triangular field has base 100 m and height 60 m.
It is sold at the rate of Rs 250 per square metre.
A buyer has a budget of Rs 8,00,000.
Can the buyer afford the field, and by how much is the budget short or in surplus?
- AYes, surplus of Rs 50,000
- BNo, short by Rs 50,000
- CYes, surplus of Rs 7,50,000
- DNo, short by Rs 7,00,000
Show answer
Answer: A) Yes, surplus of Rs 50,000
Area = 21 x 100 x 60 = 3000 sq m. Cost = 3000 x 250 = Rs 7,50,000. The budget Rs 8,00,000 exceeds the cost, so the buyer can afford it with a surplus of 8,00,000 - 7,50,000 = Rs 50,000.