Question

A field is in the shape of a trapezium.

Not to scale
210 m
190m
250m
The field produces 7200 kilograms of barley per hectare.
One hectare is 10000 m²,
Work out how many kilograms of barley the field produces.

Answer 1

36,000 kg

Explanation:

✔️First, find the area of the trapezium field:

Area of trapezium = ½(a + b)*h

Where,

a = 210 m

b = 190 m

h = 250 m

Area of trapezium = ½(210 + 190)*250

= ½(400)*250

= 200*250

= 50,000 m²

✔️Find the kg of barley that 50,000 m² field will produce:

10,000 m² (1 ha) produces 7,200 kg

Therefore,

50,000 m² will produce:

(50,000*7,200)/10,000

= 5*7,200

= 36,000 kg of barley