Question

Find the cost of cultivating a quadrilateral field at 50 paise per square meter whose one diagonal is 40 m and its offsets are 25 m and 20 m respectively.

Answer 1

Given:

One diagonal = 40 m.

Offsets perpendiculars from opposite corners to this diagonal = 25 m and 20 m.

Rate = 50 paise per m² (= ₹ 0.50 per m²).

Step-wise calculation:

1. Area of the quadrilateral = `1/2` × diagonal × sum of offsets 

= `1/2 xx 40 xx (25 + 20)` 

= 20 × 45

= 900 m²

2. Cost = Area × Rate

= 900 m² × 50 paise/m² 

= 900 × 50 paise

= 45,000 paise

= ₹ 450

The cost of cultivating the field is ₹ 450 (i.e., 45,000 paise).