28 cm 11. Find the area of each of the following fields. All dimensions are in m. E D 50 D 40 F 20 H 80 60 E FT 40 1 C 40 60 40 H 40 C G 20 40 20 F G K B 50 30 80 60 A 30 B А (i) Balieet studies in place I Lic. (ii) 12
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Answer:
(1)
Step-by-step explanation:
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Find the area of each of the following fields all dimensions are in meters
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Solution
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Verified by Toppr
(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