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 ]

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 MathematicsNCERTStandard VIII

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