Question

Find the area of the following fields. All dimensions are in metres.​

Answer 1

Answer:

Solution :-

1) Area of the Δ DEI = 1/2 × Base × Height

⇒ 1/2 × 60 × 40

 

= 1200 sq m

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

⇒ 1/2 × (60 + 50) × 70

⇒ 1/2 × 110 × 70

= 3850 sq m

3) Area of the Δ AFG = 1/2 × Base × Height

⇒ 1/2 × 50 × 50

= 1250 sq m

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

⇒ 1/2 × (40 + 30) × 80

⇒ 1/2 × 70 × 80

= 2800 sq m

5) Area of the Δ CDH = 1/2 × Base × Height  

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

⇒ 1/2 × 40 × 80

= 1600 sq m

Total area = Area of Δ DEI + Area of the Trapezium EFGI + Area of Δ AFG + Area of Trapezium ABCH + Area of Δ CDH  

⇒ 1200 + 3850 + 1250 + 2800 + 1600

= 10700 sq m

So, the area of the figure ABCDEF is 10700 sq m

Answer.

Step-by-step explanation:

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