ind the cost of levelling a ground in the form of a triangle having the sides 22 m, 28 m and 30 m at the rate of ₹ 3 per m2
Answers
Answer:
Rs. 882
Step-by-step explanation:
s1=22m
s2=28m
s3=30m
by Heron's formula=>
ar=√s(s-s1)(s-s2)(s-s3)
s=(s1+s2+s3)/2
s=40m
ar=294m²(approx.)
cost=3/m²
cost=₹882(approx.)
Given : a ground in the form of a triangle having the sides 22 m, 28 m and 30 m is levelled at the rate of ₹ 3 per m²
To find : cost of levelling ground
Solution:
Sides of triangel
22 , 28 , 30
s = (22 + 28 + 30)/2 = 80/2 = 40
Area of triangle using Heron formula
A = √s(s -a)(s-b)(s-c)
= √40(40-22)(40-28)(40-30)
= √40*18*12*10
= √10 * 2 * 2 * 6 *3 * 6 * 2 * 10
= 10 * 2 * 6 √6
= 120√6 m²
cost of levelling per m² = Rs 3
Cost of levelling the ground = 120√6 * 3
= 360√6 Rs
= 360 * 2.4495
= 881.82
cost of levelling ground = Rs 881.82
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