The garden is made up of a rectangular patch of grass and two semi-circular vegetable patches. If the dimensions of the rectangular patch are 16 m (length) and 8 m (width) respectively, calculate: a) the perimeter of the garden. b) the total area of the garden.

Clifland 2020-10-18 Answered
The garden is made up of a rectangular patch of grass and two semi-circular vegetable patches. If the dimensions of the rectangular patch are 16 m (length) and 8 m (width) respectively, calculate: a) the perimeter of the garden.
b) the total area of the garden.
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Alara Mccarthy
Answered 2020-10-19 Author has 85 answers
a)The perimeter consists of the two lengths of the rectangle (16 m) and the two curve sides of the semicircles whose radius is half the width of the rectangle or 12(8)=4. Hence,
P=2l+2(12)(2πr)
P=2(16)+2(12)(2π4)
P=32+8π57.1m
b)The total area is the area of the rectangle plus the areas of the semicircles:
A=lw+2(12)πr2
A=(16)(8)+2(12)π(4)2
A=128+16π178.3m2
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Jeffrey Jordon
Answered 2021-10-10 Author has 2313 answers

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