Question

Which is the right ratio of area of a triangle and rectangle on the same base and between the same height?

• A. 1:2
• B. 2:1
• C. 1:3
• D. 1:4

Hint:

The area of a triangle is half the area of a rectangle with the same base and height.

Answer 1

The Correct Option is A

Step 1: Understanding the Area of a Triangle and Rectangle. 
The area of a triangle is given by: \[ \text{Area of triangle} = \frac{1}{2} \times \text{base} \times \text{height}. \] The area of a rectangle is: \[ \text{Area of rectangle} = \text{base} \times \text{height}. \] For the same base and height, the area of the triangle will be half the area of the rectangle. Therefore, the ratio is 1:2. 
Step 2: Verifying the Options. 
- Option (1): The correct ratio is 1:2. 
- Option (2): 2:1 is incorrect. 
- Option (3): 1:3 is incorrect. 
- Option (4): 1:4 is incorrect. 
Conclusion: 
Therefore, the correct answer is (1) 1:2.