Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 2D

Question:

The sides of a triangular park are 60 m, 112 m and 164 m.The cost of levelling the park at the rate of ₹8.50/m2 is:

Options:

₹17,085

₹18,164

₹18,316

₹17,136

Correct Answer:

₹17,136

Explanation:

We have,

Side of the triangle are  = 60 , 112, 164

Semi perimeter = \(\frac{(60 + 112 + 164) }{2}\) = 168

Area = \(\sqrt {s(s-a)(s-b)(s-c) }\)

= \(\sqrt {168(168-60)( 168-112)( 168-164) }\)

= \(\sqrt {168(108)( 56)( 4) }\)

= 2016m2

The cost of leveling the field at the rate of ₹8.50/m2 is = 2016×8.5 =  ₹17,136