Question

The base of triangular field is 3 times its altitude.If the cost of sowing the field at RS 58 per hectareis RS 783, find its base and height.

Answer 1

area that can be sown with ₹ 58 = 1 h

area that can be sown with ₹ 783 =

783/58 = 13.5 hectare

let altitude = x

let base = 3x

area = 1/2 × b × h

13.5 = 1/2 × 3x × x

13.5 = 1/2 × 3 x^2

13.5 × 2 = 3x^2

27 = 3x^2

27/3 =x^2

9 = x^2

√9 = x

3 = x

altitude = x = 3 hectare

base = 3x = 3 × 3 = 9 hectare