Question

The triangular side walls of a flyover have been used for advertisements. The sides of the walls are 122 m, 22 m, and 120 m (see figure below). The advertisements yield an earning of ₹ 5000 per m² per year. A company hired one of its walls for 3 months. How much rent did it pay?

Answer 1

The sides of the triangle (i.e., a, b, c) are of 122 m, 22 m, and 120 m respectively.
Perimeter of triangle = (122 + 22 + 120) m 
2s = 264 m 
s = 132 m
By Heron's formula
Area of a triangle =$\sqrt{\text{s(s - a)(s - b)(s - c)}}$

= $\sqrt{\text{132(132 - 122) (132 - 22) (132 - 120)}}$

$= \sqrt{\text{132 × 10 × 110 × 12}}$

= 1320 m²

Rent of 1 m² area per year = ₹ 5000

Rent of 1 m² area per month = $₹ \frac{5000}{12}$

Rent of 1320 m² area for 3 months = $₹$($\frac{5000}{12}$) × 3 × 1320

= $₹$1650000
Therefore, the company paid ₹ 16,50,000 as rent.