# Finding The Area Of The Shaded Region Step-By-Step (2 Different Ways)

There are two ways to solve this:

## 1st Way

The first way is to divide this into two parts.

Firstly find the area of a smaller rectangle and then the area of the total rectangle.

Then subtract the area of the smaller triangle from the total area of the rectangle.

### Area of the smaller rectangle

Width of white rectangle = 30cm – 8cm = 22cm

Length of white rectangle = 15cm – 4cm = 11cm

Area of white rectangle = 22cm * 11cm = 242 cm^2

### The total area of the rectangle

Area of total rectangle = 30cm * 15cm = 450cm^2

### Area of the shaded region

Area of shaded area = 450cm – 242cm = **208cm^2**

## 2nd Way

The second way is to divide the shaded part into 3 rectangles.

Then add the area of the all 3 rectangles to get the area of the shaded region.

### Rectangle **A**

Area of rectangle A = 8cm * 11cm = 88cm^2

### Rectangle **B**

Area of rectangle B = 8cm * 4cm = 32cm^2

### Rectangle **C**

Area of rectangle C = 22cm * 4cm = 88cm^2

### Area of the shaded region

Area of shaded area = 88cm^2 + 32cm^2 +88cm^2 = **208cm^2**

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