Question

Find the area of the following field .All dimensions are in metres.

Please Answer fast

Answer 1

(1) Area of the ΔDEI=1/2 × Base × Height

⇒1/2×60×40  

=1200m  

2

 

(2) Area of the Trapezium EFGI=1/2× (Sum of the two parallel sides) × Height

⇒1/2×(60+50)×70

⇒1/2×110×70

=3850m  

2

 

(3) Area of the ΔAFG=1/2 × Base × Height

⇒1/2×50×50

=1250m  

2

 

(4) Area of the TrapeziumABCH=1/2 ×(Sum of the two parallel sides) × Height

⇒1/2×(40+30)×80

⇒1/2×70×80

=2800sqm

(5) Area of theΔCDH= 1/2× Base × Height  

The height of this figure is not clear in the image. I think it is 80m and I have assumed it 80m.

⇒1/2×40×80

=1600m  

2

https://assets.grammarly.com/emoji/v1/1f928.svg  

Total area = Area of ΔDEI+ Area of the Trapezium EFGI+ Area of ΔAFG+ Area of Trapezium ABCH+ Area of ΔCDH

⇒1200+3850+1250+2800+1600

=10700 m  

2

 

So, the area of the figure ABCDEF is 10700m  

2