Question

find the area of the field shown below.(all measurement are in metre) ​

Answer 1

Answer:

3600

Step-by-step explanation:

There are 3 triangles and 1 trapezium in the given figure

So, first let's find the

Area of Triangle = 1/2 × Base × Height

= 1/2 × 50m × 30m

= 1/2 × 1500m²

= 1500 ÷ 2

= 750m²

Area of 2nd Triangle = 1/2 × 30m × 50m

= 1/2 × 1500m²

= 750m²

Area of 3rd Triangle = 1/2 × 60m × 40m

= 1/2 × 2400m²

= 1200m²

Area of trapezium = 1/2 × Height × (sum of parallel sides)

= 1/2 ×30× (20+40)

= 1/2 × 1800m²

= 900m²

Add all the areas= 750m²+750m²+1200m²+900m²

= 3600 m²

Answer 2

Answer:

Area of polygon ABCDEA = Area of ∆ADE + Area of ∆DFC + Area of trapezium ABCF = 45 x 40 + 30 x 30 + 45 x 15 = 1800 + 900 + 675 = 3375 meters.