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: 1) the perimeter of the garden.&nbsp;2) the total area of the garden.

Question

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: 1) the perimeter of the garden.&amp;nbsp;2) the total area of the garden.

Alara Mccarthy · Accepted Answer

1)The perimeter consists of the two lengths of the rectangle (16 m) and the two curved edges of the semicircles whose radius is half the rectangle&#039;s width, or&amp;nbsp;12(8)=4. Hence,&amp;nbsp;P=2l+2(12)(2πr)&amp;nbsp;P=2(16)+2(12)(2π⋅4)&amp;nbsp;P=32+8π∼57.1m&amp;nbsp;2)The rectangle&#039;s area plus the semicircles&#039; areas equals the entire area:&amp;nbsp;A=lw+2(12)πr2&amp;nbsp;A=(16)(8)+2(12)π(4)2&amp;nbsp;A=128+16π∼178.3m2

Jeffrey Jordon · Accepted Answer

Answer is given below (on video)

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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