Triangle Area Calculation: Finding Area with 3m Base and 2/3m Height

To determine the area of the triangle, we will proceed as follows:

• Identify the base and height from the problem.
• Use the formula for the area of a triangle, $A = \frac{1}{2} \times b \times h$.
• Substitute the given values and compute the area.

First, the base $b$ of the triangle is $3$ meters, and the height $h$ is $\frac{2}{3}$ meters. To find the area, we will use the formula:

$A = \frac{1}{2} \times b \times h$

Substituting, we get:

$A = \frac{1}{2} \times 3 \times \frac{2}{3}$

We begin by calculating the multiplication inside the formula:

$A = \frac{1}{2} \times \left(3 \times \frac{2}{3}\right)$

Here, $3 \times \frac{2}{3} = \frac{6}{3} = 2$.

Then, multiply by $\frac{1}{2}$:

$A = \frac{1}{2} \times 2 = 1$.

The area of the triangle is $1$ square meter.

The correct answer from the choices provided is: $1$.