The shape of a garden is, as shown in the adjoining
figure, semicircular at the ends and rectangular in the
middle. Find the area and perimeter of the garden.
140 m
[Hint: Length of rectangle = 250 - 2r.]
Answers
Answer:
Ncert solutions
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Mathematics
Science
Chapters in NCERT Solutions - Mathematics , Class 8
Exercises in Mensuration
Question 6
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 meters]
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Solution::
Given: Total length = 20 m
Diameter of semi circle = 7 m
Radius of semi circle = 7/2 = 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 = l x b
= 13 x 7 = 91m^2m
2
Area of two semi circles = 2 1/2 π * r^2
= 2 1/2 22/7 3.5 3.5
= 38.5 m2
Area of garden = 91 + 38.5 = 129.5 m2
Now Perimeter of two semi circles = 2 π r = 2 22/7 3.5 = 22 m
And Perimeter of garden = 22 + 13 + 13
= 48 m.