Question

Find the area of each of the following fields . All dimensions are in metres. 50
E
D
40
F
H
20 80
80
I
IC
C
I 40
60
G
40
B
30
K
70
50​

Answer 1

Answer:

(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

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