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Question
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 the garden [Length of rectangle is 20 − (3.5 + 3.5) metres]
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Solution
Length of the rectangle = [20 − (3.5 + 3.5)] metres = 13 m
Circumference of 1 semi-circular part = πr `=(22/7 xx 3.5)m = 11 m`
Circumference of both semi-circular parts = (2 × 11) m = 22 m
Perimeter of the garden = AB + Length of both semi-circular regions BC and
DA + CD
= 13 m + 22 m + 13 m = 48 m
Area of the garden = Area of rectangle + 2 × Area of two semi-circular regions
`[(13xx7)+2xx1/2xx22/7xx(3.5)^2]m^2`
= `(91+38.5)m^2`
= `129.5 m^2`
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