Q.3    The shape of a garden is rectangular in the middle 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].

Answers (1)

Length of rectangle is 20 – (3.5 + 3.5) metres=13 metres

Breadth of rectangle = 7 metres

diameter of circular side = 7metres

Area of garden = area of rectangle + 2 times area of semi circular part

Area of garden

 =\left ( 13\times 7 \right ) + \left ( \pi \times 7^{2}\div 4 \right )

=\left ( 91 ) + \left ( 38.5 )

=129.5 metres^{2}

Perimetre of garden

 =\left ( 2\times \pi \times r \right )+\left ( 2\times 13 \right )

=\left ( 22 \right )+\left ( 26 \right )

=48 metres

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