Perimeter and area

Question 5

What is the area of the shaded region of the following rectangle?
Each small rectangle is 4 cm x 2 cm.

8 cm 24 cm
           
           
           
           


Solution

Area of larger rectangle is:   L x W
= 24 x 8
  = 192 cm².
Area of smaller rectangle is:   L x W
  = 4 x 2
  = 8 cm².
Therefore shaded area = Area of larger rectangle – Area of smaller rectangle
  = 192 – 8
  = 184 cm².
The area of the shaded region is 184 cm².