A lawn is rectangular in the centre and has semi-circular ends. Find the area and
perimeter of the garden if the total length of the lawn is 40 m and diameter of each
semi-circular end is 14 m.
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Step-by-step explanation:
here is your answer mate
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Answer:
Area = 714m^2
Perimeter = 152m
Step-by-step explanation:
Hope ! u understand the figure
ABCD is a rectangle
Area of rectangle =Length×Breadth
Area = AD ×AB = 14×40 = 560m^2
Perimeter of rectangle =2(l+b)
Perimeter = 2( AD+AB)
= 2(14+40) = 2×54 = 108m
Area of semicircle=(πr^2)/2 = (22/7×7^2)/2
= (22/7×49)/2 = (22×7)/2
= 154/2 = 77m^2
Area of 2 semicircle= 2×77 = 154m^2
Perimeter of semicircle =πr/2 = 22/7×7 =22m
Perimeter of 2 semicircle= 22×2 = 44m Total area of lawn =560+154 = 714m^2
Total perimeter of lawn = 108+44 = 152m
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