Math, asked by cutekhushicute2736, 10 months ago

The garden is 10 m long and 6 m wide. There is a vegetable patch that is 2 m long and 1.5 m wide. There is a circular pond that has radius 2 m. The remainder of the garden is grass. Calculate the area of the grass

Answers

Answered by priyanshuvats65
1

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Answered by SpaceyStar
1

Given :

  • Data required to calculate the area of garden, vegetable patch & the circular pond is given.

To Find :

  • The are of the grass.

Let us first calculate the area of garden with the given data.

⟹ Area of garden = l × b

‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍= 10 × 6

‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍= 60m²

Now let's calculate the area of the vegetable patch.

⟹ Area of vegetable patch = l × b

‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍= 2 × 1.5

‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ = 3m²

Let's calculate the area of circular pond.

⟹ Area of circular pond = πr²

‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍=  \frac{22}{7}  \times (2)^{2}

‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ = 22 \times  \frac{4}{7}

‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍= 12.57m²

To find the area of the grass, we should subtract the area of garden, area of vegetable patch & the area of circular pond.

⟹ Area of grass = Area of garden - Area of vegetable patch - Area of circular pond.

= ( 60 - 3 - 12.57 )

= 44.43m²

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