Number 9

9. The shape of a park is a rectangle bounded by semi-circles at the ends, each of radius 17.5 m, as shown in the adjoining figure. Find the area and the perimeter of the park. 

Dear Student,


$$\begin{gathered} Area of park=area of rectangle+area of 2 semicircles \\ Area of park=(35\times 40)+\cancel{2}\times \frac{\mathrm{\pi }(17.5{)}^2}{\cancel{2}} \\ Area of park=\left(1440\right)+3.1415\times 306.25 \\ Area of park=1440+962.1125 \\ Area of park=2402.1125 m^2 \\ Now, \\ Perimeter of park=2\times semi circular arc length+2 \times length of rectangle \\ Perimeter of park=2\times \mathrm{\pi }\times 17.5+2 \times 40 \\ Perimeter of park=35\times 3.1415+80 \\ Perimeter of park=109.9525+80 \\ Perimeter of park=189.9525 m \end{gathered}$$
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