Answer:
22 square units.
Explanation:
What is the area?
The area is the total space taken up by a flat (2-D) surface or shape. The area is always measured in square units.
To solve for the area of the figure, we can split the figure into 3 shapes. (2 triangles and a rectangle)
An expression you can use to solve for the area of a rectangle and the area of a triangle is:
- (Length × width) = area of a rectangle.
- (Length × width) ÷ 2 = area of a triangle.
Solving for the triangle on the left:
Solving what is in the parenthesis:
Therefore, the triangle on the left has an area of 6 square units.
To solve for the rectangle in the center, we can use this expression:
Therefore, the area of the rectangle in the center is 12 square units.
Solving for the triangle on the right:
Solving what is in the parenthesis:
Therefore, the area of the triangle on the right is 4 square units.
Adding all of the areas together:
Therefore, the total area of the shape is 22 square units.