# CAT 2020 Question Paper | Quants Slot 1

###### CAT Previous Year Paper | CAT Quants Questions | Question 22

This question is from Mensuration. Mensuration is a very intuitive topic. You can expect at least one question from this topic in the CAT exam. The questions from Mensuration can be solved with a practical approach even if one is not completely prepared for the entire Geometry section in CAT. This question hovers around a circle that is inscribed in a triangle. Then the Circle is painted. We need to find the perimeter of the rectangle. Make sure you master Mensuration by practising CAT Previous Year Question paper. From now on, you should not be able to look at a bucket without thinking of it as a cone carved out from another cone!

Question 22 : On a rectangular metal sheet of area 135 sq in, a circle is painted such that the circle touches opposite two sides. If the area of the sheet left unpainted is two-thirds of the painted area then the perimeter of the rectangle in inches is

1. 3√π(5 + $$frac{12}{π}$) 2. 4√π$3 + $$frac{12}{π}$) 3. 5√π$3 + $$frac{12}{π}$) 4. 3√π$$$frac{5}{2}$ + $\frac{6}{π}$) ## 🎊 Independance Day Discount! Upto 4,000 off on CAT Online Courses Valid until 16th Aug #### 2IIM : Best Online CAT Coaching. ### Video Explanation ## Best CAT Coaching in Chennai #### CAT Coaching in Chennai - CAT 2022Limited Seats Available - Register Now! ### Explanatory Answer Total area = 5 parts So, painted area = 135 × $\frac{3}{5}$ = π r2 Solving r = $\frac{9}{√π}$ Substituting r in l = $\frac{135}{2r}$ l = $\frac{15√π}{2}$ Perimeter of rectangle = 2$l + b)
= 2($$frac{15√π}{2}$ + $\frac{18}{√π}$) = 3√π$5 + $$frac{12}{π}$) ##### The answer is, "3√π$5 + $$frac{12}{π}$)" ###### 🎊 Independance Day Discount! Upto 4,000 off on CAT Online Courses. Valid until 16th Aug ###### Prepare for CAT 2022 with 2IIM's Daily Preparation Schedule ###### Know all about CAT Exam Syllabus and what to expect in CAT ###### Best CAT Online Coaching Try upto 40 hours for free Learn from the best! ###### Already have an Account? ###### CAT Coaching in ChennaiCAT 2022 Classroom Batches Starting Now! @Gopalapuram ###### Best CAT Coaching in Chennai Introductory offer of 5000/- Attend a Demo Class ###### Best Indore IPM & Rohtak IPM CoachingSignup and sample 9 full classes for free. Register now! ##### Where is 2IIM located? 2IIM Online CAT Coaching A Fermat Education Initiative, 58/16, Indira Gandhi Street, Kaveri Rangan Nagar, Saligramam, Chennai 600 093 ##### How to reach 2IIM? Phone:$91) 44 4505 8484
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