Question

Find the cost of leveling a ground in the form of a triangle having sides 51m, 37 m and 20 m at the rate of Rs 15 per sq.m.

Answer 1

Sides of triangle = 51m , 37 m and 20 m

Perimeter of triangle = (51+37+20)m
= 108

Semi-perimeter (s) = (108/2) m = 54 m

Area of triangle using Heron's formula -

√s(s-a)(s-b)(s-c)

where , s = Semi-perimeter and a , b , c are sides of triangles .

Area of triangle =

√54(54-51)(54-37)(54-20)

= √54(3)(17)(34)

= √2×3×3×3×3×17×2×17

= 2×3×3×17

= 306 m²

Area of triangle is 306m².

Cost of levelling is ₹15/m²

So , cost of levelling 306 m² of land =

₹ 306 × 15
= ₹4590

Answer) Cost of levelling field is ₹4,590.