Calculating the Area of a Composite Figure

Hi Tyler, let's find the total area of this composite figure by breaking it into simpler shapes.

We can divide this figure into three distinct parts: a triangle on the left, a vertical rectangle in the middle, and a horizontal rectangle on the right.

Let's start with Part one, the triangle on the left. The base of the whole bottom is eight miles. The middle rectangle is two miles wide, matching the top width. So the triangle's base is eight minus two, which is six miles.

The height of the triangle corresponds to the bottom segment of the center pillar. Given other dimensions, we see this height is four miles.

Six times four is twenty-four, and half of that is twelve square miles.

Now for Part two, the central rectangle. It has a width of two miles and a total height. Looking at the segments, the top part is two miles and the bottom part is four miles.

So the area is two times the total height of six miles, which gives us twelve square miles.