Area of Complex Figures (With All Right Angles)

Consider this figure:

Let's find the area of this figure.

To find the area, we need to divide the figure into smaller figures.

 

 

The given figure can be divided into 2 rectangles A and B.
 

Now, start with rectangle A.
 

Length of rectangle A = 9 yards
 

Width of rectangle A = 3 yards

 

We know that: 

Area of a rectangle = length × width

 

Using formula,
 

9 x 3 = 27
 

The area of rectangle A is 27 square yards.
 

Now, look at rectangle B.
 

Length of rectangle B = 5 yards
 

Width of rectangle B = 3 yards
 

Using formula,
 

5 x 3 = 15
 

The area of rectangle B is 15 square yards.
 

Now add the areas of both the rectangles:
 

27 + 15 = 42
 

So, the total area of the given figure is 42 square yards.