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. The shape of a garden is rectangular in the middle and semi-circular at the ends. Find the area and the perimeter of this garden.​

Answer» <html><body><p><strong><a href="https://interviewquestions.tuteehub.com/tag/answer-15557" style="font-weight:bold;" target="_blank" title="Click to know more about ANSWER">ANSWER</a>:</strong></p><p></p><p>Ncert solutions</p><p></p><p>Grade 8</p><p>Mathematics</p><p></p><p>Science</p><p></p><p>Chapters in NCERT Solutions - Mathematics , Class 8</p><p>Exercises in Mensuration</p><p>Question <a href="https://interviewquestions.tuteehub.com/tag/3-301577" style="font-weight:bold;" target="_blank" title="Click to know more about 3">3</a></p><p>Q3) The shape of a garden is rectangular in the <a href="https://interviewquestions.tuteehub.com/tag/middle-1096062" style="font-weight:bold;" target="_blank" title="Click to know more about MIDDLE">MIDDLE</a> and semi circular at the ends as shown in the diagram. Find the area and the perimeter of this garden [Length of rectangle is 20 – (3.5 + 3.5) metres].</p><p></p><p></p><p>Solution 3:</p><p></p><p>We know that,</p><p></p><p>length of the garden=20 m</p><p></p><p>diameter of semicircle=7m,r=3.5m</p><p></p><p>(breadth of the rectangle)</p><p></p><p>Length of rectangle=20m-3.5m-3.5m20m−3.5m−3.5m</p><p></p><p>=13 m</p><p></p><p>Area of rectangle=length\times breadthlength×breadth</p><p></p><p>=13m\times7m=13m×7m</p><p></p><p>=91\ m^2=91 m </p><p>2</p><p> </p><p></p><p>Area of semi-circle =\frac{1\ }{2}\times\pi\times\left(3.5\right)^2 </p><p>2</p><p>1 </p><p></p><p> ×π×(3.5) </p><p>2</p><p> </p><p></p><p>==\frac{1}{2}\times\frac{22}{7}\times\frac{35}{<a href="https://interviewquestions.tuteehub.com/tag/10-261113" style="font-weight:bold;" target="_blank" title="Click to know more about 10">10</a>\ }\times\frac{35}{10}= </p><p>2</p><p>1</p><p></p><p> × </p><p>7</p><p>22</p><p></p><p> × </p><p>10 </p><p>35</p><p></p><p> × </p><p>10</p><p>35</p><p></p><p> </p><p></p><p>=19.25\ m^2=19.25 m </p><p>2</p><p> </p><p></p><p>Area of garden=91+19.25+19.2591+19.25+19.25</p><p></p><p>=129.5\ m^2=129.5 m </p><p>2</p><p> </p><p></p><p>Perimeter of garden=perimeter of rectangle+2(Perimeter of semicircle)</p><p></p><p>Perimeter of rectangle==2\times length=2×length</p><p></p><p>=2\times26=2×26</p><p></p><p>=26\ m=26 m</p><p></p><p>Perimeter of semicircle==\pi r=πr</p><p></p><p>=\frac{22}{7}\times3.5= </p><p>7</p><p>22</p><p></p><p> ×3.5</p><p></p><p>=\frac{22}{7}\times\frac{35}{10}= </p><p>7</p><p>22</p><p></p><p> × </p><p>10</p><p>35</p><p></p><p> </p><p></p><p>=11m</p><p></p><p>Perimeter of Garden=26m+11m+11</p><p></p><p>=48m</p><p></p></body></html>


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