Answer:
The area of this entire shape is 156 m.
Step-by-step explanation:
So to solve for the area of this shape you need to split it up into smaller shapes.
Let's split it into a square and a triangle, find the area of both, then add it together to get the total area.
To find area you take width times length, so the area of the square would be 10 multiplied by 12. That's 120.
Square area = 120
Now, for the triangle. We know the entire length of one side is 16 and inside that the side length of the square is 10, so that means the side length of the triangle is 16 - 10 or 6. The height of the triangle is 12 m.
12 multiplied by 6 is 72.
Now, because it's a triangle we take this value and divide by 2.
72 divided by 2 is 36.
Triangle Area = 36
Now we add square area and triangle area together :
120 + 36 = 156
The area of this entire shape is 156 m.
