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Question

The shape of the garden is rectangular in the middle and semicircular at the ends as shown in the diagrams. Find the area and the perimeter of this garden. 
[Length of rectangle is $$20-(3.5+3.5)$$ metres ]

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Solution

Given: 
$$\Rightarrow D=7m$$ 

$$\therefore$$ $$R=3.5m$$

$$\Rightarrow$$Combined circumference of semi circles $$=  2\pi R = 2\times \dfrac{22}{7}\times 3.5  =22$$ m

$$\Rightarrow$$Length $$= 20-3.5-3.5 = 13$$

$$\Rightarrow$$Perimeter $$=13 +22+13 = 48$$ m

$$\Rightarrow$$Area $$=  13\times7 + \dfrac{22}{7}\times3.5^{2} = 129.5$$ sq metres 

Mathematics
NCERT
Standard VIII

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