Question

Find the area of the polygon pls

Answer 1

Given:

The figure of a polygon.

To find:

The area of the polygon.

Solution:

Area of a triangle is

`Area=(1)/(2)* Base* Height`

Area of trapezoid is

`Area=(1)/(2)(a+b)h`

Where, a, b are bases and h is the height.

The area of the triangle with base 6 cm and height 8 cm is

`A_1=(1)/(2)* 6* 8`

`A_1=24`

Height of the trapezoid is
`13-8=5\ \text{cm}` and the bases are 6 cm, 12 cm. So, the area of the trapezoid is

`A_2=(1)/(2)(6+12)(5)`

`A_2=(1)/(2)(18)(5)`

`A_2=(9)(5)`

`A_2=45`

Now, the total area of the polygon is

`A=A_1+A_2`

`A=24+45`

`A=69`

Therefore, the area of the polygon is 69 sq. cm.