Question

The height of a trapezium is 3 cm and its area is 18 cm². If one parallel side is 4 cm, the other parallel side is ______.

विकल्प

• 5 cm

• 6 cm

• 7 cm

• 8 cm

Answer 1

The height of a trapezium is 3 cm and its area is 18 cm². If one parallel side is 4 cm, the other parallel side is 8 cm.

Explanation:

Given:

• Height (h) of the trapezium = 3 cm
• Area (A) = 18 cm²
• One parallel side (a) = 4 cm
• Let the other parallel side be b cm

The formula for the area of a trapezium is:

`Area = 1/2 xx (a + b) xx h`

Substitute the known values:

`18 = 1/2 xx (4 + b) xx 3`

Simplify:

`18 = 3/2(4 + b)`

Multiply both sides by `2/3`:

`(4 + b) = (18 xx 2)/3`

(4 + b) = 12

So, b = 12 – 4 = 8 cm.