Question

Find the area of the figure given below:
E
D
10 cm
- 5 cm
5cm​

Answer 1

Answer:

hope u get it Area of given figure = Area trapezium FEDG + Area rectangle ABCD

Area trapezium = ar△FGE + ar rectangles GDJI

ar △FGE:

S=  

2

6+5+5

​  

=8cm

ar △=  

8(8−6)(8−5)(8−5)

​  

 

        =  

8×2×3×3

​  

 

        =4×3=12cm  

2

 

Also, ar △FGE=  

2

1

​  

×FE×h

                      12=  

2

1

​  

×6×h

                        h=4cm

∴  Area rectangle =IJ×GI=4×4=16cm  

2

 

∴  Area trapezium =12+16=28cm  

2

 

Area rectangle ABCD=AB×CB

Now, BC=  

AC  

2

−AB  

2

 

​  

=  

(13)  

2

−(12)  

2

 

​  

=  

25

​  

=5cm

∴ area rectangle ABCD=12×5=60cm  

2

 

Total area of figure =28+60=88cm  

2

 

Perimeter =2(AB+BC)+FG+FE+ED

                 =2(12+5)+5+10+5=54cm  

2

 

Step-by-step explanation: