Q. 34.0( 355 Votes )

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].

Answer :


Here, length of rectangle = 20 – (3.5 + 3.5) = 13 m, breadth = diameter of semi circle = 7 m

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

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

Area of the garden = π r2 + Length × Breadth
[putting the value of π = 22/7 ]


Area of the garden = 22 × 0.5 × 3.5 + 13 × 7

Area of the garden = 38.5 + 91

Area of the garden = 129.5 m2

And perimeter = Total Length of Outer Boundary = Circumference of Circle + 2 × Length of rectangle

Perimeter of the garden = 2 π r + 2 l

Perimeter of the garden = 22 + 26

Perimeter of the garden = 48 m

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