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

Video Solution

Solution Steps

00:08 Let's find the area of the triangle.

00:11 We'll use the formula: Area equals base times height, divided by two.

00:17 First, substitute the base and height with the given numbers.

00:23 Then, we'll change the whole number to a fraction.

00:30 Remember to multiply the numerators together, and multiply the denominators together.

00:35 Now, we'll simplify the fraction as much as we can.

00:45 Next, change the fraction back to a whole number if possible.

00:49 And that's the solution! We've found the area of the triangle.

Step-by-Step Solution

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: $1$ .