If the base of a triangle is twice its altitude and the altitude is 2x unit, then the area of the triangle is

Correct option is D

We are given:

• The altitude of a triangle is 2x units.

• ​​The base is twice the altitude,
• so base =

  ​$$2 \times 2x = 4x units$$​​
  

  formula for area of a triangle is

Area=12×base×height\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}Area=21​×base×height​

On substituting the values,

$$\text{Area} = \frac{1}{2} \times 4x \times 2x = \frac{1}{2} \times 8x^2 = 4x^2$$​