Question

What is the area of ABC? I need to find out how many units, please help

Answer 1

To find the area of this figure, let's first split this into two triangles by drawing a vertical line from point B down to the bottom of the figure. We then have two triangles:

One triangle with a base of 6 units and a height of 6 units
And a second triangle with a base of 1 unit and a height of 6 units

We know that to find the area of a triangle, we must use the equation:

$A= \frac{1}{2}bh$

So let's solve for the first triangle:

$A= \frac{1}{2}(6)(6)=18 units^{2}$

The let's solve for the second triangle:

$A= \frac{1}{2}(1)(6)=3 units^{2}$

Now to find the total area of the figure, let's add them together:

$18units^{2}+ 3units^{2} = 21units^{2}$

Now we know that the area of this figure is $21 units^{2}$.