Question

Which statement best describes the area of the triangle shown below?

Answer 1

Option D - The area of this triangle is one-half of that of a square that has area of 12 square units

Step-by-step explanation

We want to the best description of the area of the triangle given.

To do this, we have to first find the area of the triangle.

The area of a triangle is given as:

`A\text{ = }(1)/(2)(b\cdot\text{ h)}`

Where b = base and h = height

From the diagram, we have that:

b = 4 units

h = 3 units.

Therefore, the area of this triangle is:

`\begin{gathered} A\text{ = }(1)/(2)(4\cdot\text{ 3)} \\ A\text{ = }(1)/(2)(12) \\ A\text{ = 6 square units} \end{gathered}`

Checking through the options, we see that the only correct option is Option D.

This is because the area of this triangle (6 square units) is one-half of that of a square that has area of 12 square units