The shape of a garden is rectangular in the middle and semicircular at the ends as shown in the diagram. Find the area and perimeter of this garden.
watch pic for size of rectangular garden
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Step-by-step explanation:
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^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.
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