Question

The length and breadth of a rectangle are 6 cm and 4 cm respectively. Find the height of a triangle whose base is 8 cm and whose area is 2 times that of the rectangle.

Answer 1

Given: Rectangle with length = 6 cm and breadth = 4 cm; triangle with base = 8 cm and area = 2 × (area of rectangle).

Step-wise calculation:

1. Area of rectangle

= length × breadth

= 6 × 4

= 24 cm²

2. Area of triangle

= 2 × 24

= 48 cm²

3. Triangle area formula:

Area = `1/2` × base × height

4. Substitute known values:

48 = `1/2` × 8 × height 

= 4 × height

5. Solve for height:

height = `48/4`

= 12 cm

The height of the triangle is 12 cm.