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].

Here, length of rectangle = 20 – 7 = 13m, breadth = diameter of semi circle = 7 m

Diameter of Semi Circle = 7 m, i.e. radius r = 7/2 = 3.5m

Area of the garden = sum of areas two semicircular shapes + area of rectangle

Area of the garden = Πr2 + Length × Breadth

= 22/7 × (3.5)2 + 13 × 7

= 38.5 + 91

= 129.5 m2

And perimeter = Total Length of Outer Boundary

= 2 π r + 2l

= 2 × × 3.5 + 2×13

= 22 + 26

= 48 m

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