Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 2D

Question:

The sides of a triangular park are 32 cm, 16 cm, 24 cm.  The cost of levelling the park at the rate of Rs. 8/m2 is (taking \(\sqrt {10}\) = 3.16):

Options:

1215.71

1122.3

1430

1213.44

Correct Answer:

1213.44

Explanation:

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

s = \(\frac{32 + 16 + 24}{2}\) = 36

Area of triangle = \(\sqrt {36(36 - 32) (36 - 16) (36 - 24)}\)

                       = \(\sqrt {36 × 4 × 20 × 8}\) = 48\(\sqrt {10}\)

Cost = Area × rate of levelling of triangle

       = 48 × 3.16 × 8 = 1,213.44