Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 2D

Question:

At each corner of a triangular field of side 30 m, 51 m, 63m, a horse is tied by a rope of length 7 m. Find the area of ungrazed field -

Options:

556 m²

368 m²

 675 m²

 688 m²

Correct Answer:

 688 m²

Explanation:

30, 51, 63 form a triplet

Area of the triangle = \(\frac{1}{2}\) x 30 x 51 = 765 m²

Area grazed by the horse = area of semi - circle 

                                      =  \(\frac{154}{2}\) = 77m²

Area of ungrazed field = 765 - 77 = 688 m²