Video Transcript

Hi, I'm Tyler Locke. And this is how to solve equations with irregular shapes. Let's say, we're given a shape that looks something like this. So, and we can tell that this irregular shape can be broken down into regular shapes. So, we can see half a circle here, a triangle and a rectangle. And of we know certain distances or lengths, we can find the areas of each individual shapes and add them together. And get the total for this irregular shape. So, let's say, we're given the length of this, is three, the width of this is two, which means this is two. And the height f this is four, right. O.k., so we know the area of a triangle is one-half base times times height. And we know the area for a rectangle is length times width, just drawing a little rectangle and a triangle here. And the area for a circle is Pie times R-squared. O.k., but this one, since it's half a circle, we're going to have to divide it by two. So, if we add all these together, we'll get the overall area for this irregular shape. So, let's do that. O.k., so one-half base is three, times the height which is four. That's the area of the triangle. Add that to the area of this half circle, which is Pie R-squared divided by two. Now, let's plug in the numbers later. And the for the rectangle is length times width. O.k., now get the total area, total area. O.k., so, now let's finish up plugging in the numbers over here. So, we'll get one-half, three times four, so that's six plus Pie R-squared. That's three point one four times R-squared. So, radius, which is one here, squared is one, divided by two. Plus three times two which is six, length times with width right here. Alright and now, we just need a simplify this. We get six plus one point five seven, plus six. And that totals to thirteen point five seven. So, if these were inches, if this two inches long and three inches long. Then, this would be thirteen point five seven inches squared. O.k., so there you have it. To calculate the area of an irregular shape, you simplify it into regular shapes, break them down, add up the different areas. And you'll get your total here. So, the area of this irregular shape is thirteen point five seven inches squared. 'm Tyler Locke, and this is how to solve equations with irregular shapes.