Question

The area of the figure is _______ square units.

Answer 1

Answer: The area of the "entire figure" is: " 132 units² " .
___________________________________________Step-by-step explanation:
______________________________________________________We are to find the area of the entire given figure;
→ {shown directly below; to the "LEFT"}:
______________________________________________________We can begin by finding the area of the "rectangle portion" of the entire given figure;
→ {shown directly below; to the "RIGHT"}:
______________________________________________________

Answer 2

Divide the figure into 4 parts: a triangle, rectangle, rectangle, and triangle.

Area of triangle: 1/2(base · height)
Area of rectangle: (length · width)

Solve for the 2 triangles:
Triangle #1: 1/2(6 · 8)
1/2(48) = 24 units²
Triangle #2: 1/2(3 · 8)
1/2(24) = 12 units²

Solve for the 2 rectangles:
Rectangle #1: (3 · 8) = 24 units²

Rectangle #2: (9 · 8) = 72 units²

Add up all the measurements.

24 + 12 + 24 + 72 = 132 units²

The area of the figure is 132 units².