Two sides of a triangular field are 80 m and 160 m respectively and its perimeter is 324 m The ...........

Quantitative Aptitude (CDS) Mensuration 2D

Two sides of a triangular field are 80 m and 160 m respectively and its perimeter is 324 m. The cost of ploughing the field at the rate of Rs. 10 per square m is?

Rs. 143.2

Rs. 145

Rs. 140

Rs. 139

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Explanation:

perimeter a+b+c
80+160+z=324
z=324-240
z=84 m
s=a+b+z
s=(80+160+84)/2
s=324/2 =162
area of triangle=2 √(s(s-a)(s-b)(s-c))
= 2 √162(162-80)(162-160)(162-84)
=2 √162(82)(2)(78)
=36 √(39 ×41)
=36 × 39.98
=1432.8 square metre
cost=1432.8/10
=143.2