Question

Find the area of a quadrilateral plot of ground whose diagonals are 140 m and 130 m and intersect each other at right angles. Find also the cost of the land at ₹ 10 per m².

Answer 1

Given:

Diagonals = 140 m and 130 m and they intersect at right angles.

Cost = ₹ 10 per m².

Step-wise calculation:

1. Formula: When the diagonals of a quadrilateral are perpendicular.

Area = `1/2` × product of the diagonals

2. Area = `1/2 xx 140 xx 130`

= 70 × 130

= 9,100 m²

3. Cost = Area × Rate

= 9,100 × ₹ 10

= ₹ 91,000

Area of the plot = 9,100 m².

Cost of the land at ₹ 10 per m² = ₹ 91,000.