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<html><body><h2 id="content-id-4258607139-2"><b>Mensuration 2D Questions Overview</b></h2><p>Mensuration 2D Questions have a good weightage in the Ssc Chsl Exam and the type of question asked in Ssc Chsl exam is similar to the question mentioned below. It has been solved and explained by KD Live Experts under the guidance of Neetu Mam and they have tried to elaborate the concept used in Mensuration 2D Questions.</p><h2 id="content-id-8741205936-3"><b>Question On Mensuration 2D </b></h2>The ratio of the length to the breadth of a rectangular field is (x + 2) : x. A circular track is developed inside this rectangular field such that it touches the two longer sides of the rectangle. The radius of the circular track is _____ cm. The area of the remaining part of the rectangular field (excluding the circular track) is 70 cm2. If the total cost of fencing the boundary of this rectangular field at the rate of â&#130;¹(x + y) per cm is â&#130;¹1,500, then the value of variable x is ____. (Take (pi = rac{22}{7}))
<div class="row show--dificulty--bar" style="margin-top:8px;"><div class="col-sm-6 show--dificulty--bar" style="display:inline-flex !important;border-right:0.1px solid #eee;"><h3 style="font-size:12px !important;">Difficulty : Easy </h3></div><div class="col-sm-6 show--dificulty--bar" style="display:inline-flex;"><h3 style="font-size:12px !important;"> Average Time : 51 Seconds </h3></div></div><h2 id="content-id-0986374251-4"><b> Mensuration 2D Questions Options</b></h2><ol><li><p>11,  7</p>
</li><li><p>14,  11</p>
</li><li><p>14,  7</p>
</li><li><p>7,  14</p>
</li><li><p>11,  14</p>
</li></ol> <h2 id="content-id-0849173562-5"><b> Mensuration 2D Questions Solution</b></h2><p>The correct answer is <strong>option 4 </strong>i.e. <strong>7,  14</strong>.</p>

<p>Length : Breadth = (x + 2) : x</p>

<p>Radius of the circular track = (y − 4) cm</p>

<p>The circular track touches the two longer sides of the rectangle.</p>

<p>Therefore, the breadth of the rectangle is equal to the diameter of the circle.</p>

<p>Let the radius of the circular track be r cm.</p>

<p>Then,</p>

<p>Breadth = 2r</p>

<p>Length = (x + 2)/x × 2r</p>

<p><strong>Using the given area condition:</strong></p>

<p>Area of rectangle − Area of circle = 70</p>

<p>(2r) × [(x + 2)/x × 2r] − (22/7)r<sup>2</sup> = 70</p>

<p>4r<sup>2</sup>(x + 2)/x − 22r<sup>2</sup>/7 = 70</p>

<p>r<sup>2</sup>[4(x + 2)/x − 22/7] = 70</p>

<p>r<sup>2</sup>[(28x + 56 − 22x)/(7x)] = 70</p>

<p>r<sup>2</sup>(6x + 56)/(7x) = 70</p>

<p>r<sup>2</sup>(3x + 28) = 245x</p>

<p>x = 28r<sup>2</sup>/(245 − 3r<sup>2</sup>)</p>

<p><strong>Checking the given options for the radius:</strong></p>

<p>If r = 7, then</p>

<p>x = (28 × 7<sup>2</sup>)/(245 − 3 × 7<sup>2</sup>)</p>

<p>= (28 × 49)/(245 − 147)</p>

<p>= 1372/98</p>

<p>= 14</p>

<p>Thus,</p>

<p>Radius of the circular track = 7 cm</p>

<p>x = 14</p>

<p><strong>Verification using fencing cost:</strong></p>

<p>Radius = y − 4 = 7</p>

<p>y = 11</p>

<p>x + y = 14 + 11 = 25</p>

<p>Breadth = 2r = 14 cm</p>

<p>Length = (16/14) × 14 = 16 cm</p>

<p>Perimeter of rectangle = 2(16 + 14) = 60 cm</p>

<p>Total fencing cost = Perimeter × Rate = 60 × 25 = â&#130;¹1500</p>

<p>The condition is satisfied.</p>

<p><strong>Hence,</strong></p>

<p>Radius of the circular track = <strong>7 cm</strong></p>

<p>Value of x = <strong>14</strong></p>
<h2 id="content-id-9574012368-6"><b> Mensuration 2D Questions Tips and Tricks</b></h2><img loading="lazy" src="https://study.kdcampus.live/questions-blog-pdf/Mensuration_2D_Questions_Tips_and_Tricks.png" alt="Mensuration 2D Questions Tips and Tricks" height="260" width="480"><ol><li>Try to solve Mensuration 2D Questions without taking any help from the solutions.</li><li>Mensuration 2D Questions require proper usage of concept so firstly read the question thoroughly and then use the right concept. </li><li>In case you're not able to solve the question in less than 30 seconds in the exam then you should skip the question and move to the next question.</li></ol><h3><b>Daily Current Affairs </b></h3><img loading="lazy" src="https://study.kdcampus.live/questions-blog-pdf/Daily_Current_Affairs.png" alt="Daily Current Affairs" height="260" width="480"><p>KD Live is providing Current Affairs on a daily basis for SSC and a current affairs quiz too for the practice. 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The correct answer is option 4 i.e. 7, - Mensuration 2D Questions are asked in Ssc Chsl exams and your question has been explained by experts like Neetu Mam.

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