Question

find the area of the given figure​

Answer 1

Answer:

18 sq. cm

Firstly divide the figure in triangle and rectangle with dotted line then find the area of both triangle and rectangle separately and add both the areas you will get the area of the figure.

Answer 2

Answer:

$18cm^{2}$

Step-by-step explanation:

1st find height by drawing perpendicular from the corner where 5cm and 3cm sides meet to the side 6cm.

let the length of perpendicular be x

We get a triangle

We get base of the triangle by subtracting side of 3cm from side of 6cm.

which is 3cm.

Applying Pythagoras theorem,

x=$\sqrt{5^{2}-3^{2} }$

 =4cm

Now taking height = 4cm,a=3cm and b=6cm

Area of trapezium=1/2(a+b)h

                             =1/2(6+3 )4

            2 gets cancelled and 4 turns to 2

                              = 9 x 2

                              =$18cm^{2}$

Therefore area is 18cm^2.