Question

Calculate the area of given compound shape.

Answer 1

Step - 1 : Area of part A
Part A consists of a rectangle with dimensions L = 4 units and B = 12 units
So, the area of part A = length × breadth
⇒ 4 units × 12 units = 48 sq units

Step - 2 : Area of part B
Part B consists of a rectangle with dimensions B = 8 units and L = 4 + 4 + 3 = 11 units
So, the area of part B = length × breadth
⇒ 11 units × 8 units = 88 sq units

Step - 3 : Area of part C
Part C consists of a rectangle with dimensions L = 2 units and B = 4 units
So, the area of part C = length × breadth
⇒ 2 units × 4 units = 8 sq units

Therefore, Area of compound shape
= Area of part A + Area of part B - Area of part C
= 48 sq units + 88 sq units - 8 sq units
= 128 sq units

Thus, the area of the given compound shape is 128 sq units.