Q:

What is the area of the polygon below

Accepted Solution

A:
Answer:[tex]24 units^2[/tex]Step-by-step explanation:Well we can divide the given polygon into smaller triangles.The triangle on the upper right corner has a base of 4 units and a height of 3 units.So we use the following formula,[tex]\frac{b*h}{2}[/tex]4*3 = 1212 / 2 = 6 units^2Now we can do the bottom triangle.It has a base of 4 units and a height of 1 unit.So 4*1 = 44 / 2 = 2 units^2Now for the top left triangle.It has a base of 4 units and a height of 2 units.So 4*2 = 88 / 2 = 4 units^2Now all we have is the middle part.Its a triangle with a base of 4 units and a height of 2 units.So 4*2 = 88 / 2 = 4 units^26 + 2 + 4 + 4 = 16 units^2Thus,after adding everything up the total area of the polygon is 16 units^2.Hope this helps :)