Question

6. The shape of a garden is rectangular in the middle and semi circular at the end as shown
in Fig 11.18. Find the area and the perimeter of this garden​

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Asked on December 26, 2019 by

Satyam Ahire

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 the rectangle is 20−(3.5+3.5)metres].

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ANSWER

Total area of the garden = Area of the rectangular portion + The sum of the areas of the pair of semi-circles

=l.b+2×

2

1

πr

2

=(13×7)m

2

+(

2×

2

1

×

7

22

×3.5×3.5

)m

2

=(91+38.5)m

2

=129.5m

2

.

Perimeter of the garden =2× length of rectangular portion + circumference of the circle

=(

2×13+2×

7

22

×3.5

)m

=(26+22)m=48m.