Question

Find the area of the irregular figure.

Answer 1

Answer:

The area of the irregular figure is  366 cm sq.

Step-by-step explanation:

This irregular figure is made of 1 Rectangle +  1 right Triangle

Area of the Rectangle:

Length of the rectangle = 21 cm,

Width of the rectangle  = 14 cm

AREA of Rectangle =  LENGTH x WIDTH

          =  21 cm x 14 cm =  294 sq cm

⇒Area of the Rectangle  =   294 sq cm   ..... (1)

Area of the Right Triangle:

Base of the rectangle = 16 cm,

Height of the rectangle  = 21 cm -  12 cm = 9 cm

AREA of Right Triangle =  $\frac{1}{2} \times B \times H$

          $= \frac{1}{2} \times 16 \times 9 = 72$

⇒Area of the Right Triangle   =   72 sq cm   ..... (2)

Now, area of the irregular figure  = Area of the( Rectangle  +Right Triangle)

= 294 sq cm + 72 sq cm = 366 cm sq

Hence, the area of the irregular figure is  366 cm sq.