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Question -

The shape of a garden isrectangular in the middle and semicircular at the ends as shown in the diagram.Find the area and the perimeter of this garden. [Length of rectangle is 20 тАУ(3.5 + 3.5) metres]




Answer -

Given: Total length = 20 m

Diameter of semi circle = 7 m

Radius of semi circle =┬а7/2 = 3.5 m

Length of rectangular field

= 20-(3.5+3.5) = 20-7 = 13 m

Breadth of the rectangular field = 7 m

Area of rectangular field =┬аl├Чb

= 13├Ч7= 91m2

Area of two semi circles =┬а2├Ч(1/2)├Ч╧А├Чr2

=┬а2├Ч(1/2)├Ч22/7├Ч3.5├Ч3.5

= 38.5 m2

Area of garden = 91+38.5 = 129.5 m2

Now Perimeter of two semi circles =┬а 2╧Аr = 2├Ч(22/7)├Ч3.5┬а= 22 m

And Perimeter of garden = 22+13+13

= 48 m. Answer

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