# How to Do the Area of an Arrow

## Transcript

Hi, my name is Marija, and today I'm going to show you how to do the area of an arrow. So there is no formula for the area of an arrow so what we have to do is split up the arrow into two figures that we do know the formula for and we notice that if I disconnect this piece of the arrow I have a triangle and I have a rectangle which I know the area for. So the area of a triangle is half the base times the height and the area of a rectangle is going to be length times width. So if we fill in some dimensions here let's say that we know this is 2, we'll make each of these pieces 2 and then we need to know this height of the triangle or altitude and we'll say that this is 3. I can find out the area of the triangle by doing half the base times the height so the base will be 2 plus 2 plus 2, it will be 6 and the height is 3. So the area of the triangle is going to be one half of 3 times 6 so we get one half of 18 and we get 9. So 9 is the area of the triangle part of it. Now for the rectangle I need to do length times width. So I also need to know this portion. So if this was given to us, let's say that this was given to us as 5, we're just going to do 2 times 5 and we get 10 so that means that the area of this portion of the arrow, the rectangular portion is 10 and then to get the area of the entire arrow all we have to do is add the area of the triangle with the area of the rectangle and we get 19, whatever the units were, squared. So the area of this arrow would be 19. So you find the area of the triangle portion, find the area of the rectangular portion and then add them together and you'll get the area of the arrow.

Marija Kero graduated from the Pforzheimer Honors College at Pace University with a Bachelor's Degree in Mathematics and Adolescent Education.