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Anand wants to re-seed the grass in his garden. His garden is 10 m long and 6 m wide. There is a vegetable patch that is 2 metres long and 1.5 metres wide.There is a circular pond that has radius 2 metres.The remainder of the garden is grass.The area of garden covered by the grass is _______.(Take π = 3.14)

Question

Anand wants to re-seed the grass in his garden. His garden is 10 m long and 6 m wide. There is a vegetable patch that is 2 metres long and 1.5 metres wide.There is a circular pond that has radius 2 metres.The remainder of the garden is grass.The area of garden covered by the grass is _______.(Take π = 3.14)

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Solution

To find the area of the garden covered by grass, we need to subtract the area of the vegetable patch and the pond from the total area of the garden.

Step 1: Calculate the total area of the garden. The garden is a rectangle, so we use the formula for the area of a rectangle: length x width. Area of garden = 10 m x 6 m = 60 m².

Step 2: Calculate the area of the vegetable patch. The vegetable patch is also a rectangle, so we use the same formula: length x width. Area of vegetable patch = 2 m x 1.5 m = 3 m².

Step 3: Calculate the area of the pond. The pond is a circle, so we use the formula for the area of a circle: πr² (where r is the radius). Area of pond = π x (2 m)² = 3.14 x 4 m² = 12.56 m².

Step 4: Subtract the area of the vegetable patch and the pond from the total area of the garden to find the area covered by grass. Area covered by grass = Area of garden - Area of vegetable patch - Area of pond = 60 m² - 3 m² - 12.56 m² = 44.44 m².

So, the area of the garden covered by the grass is 44.44 square metres.

This problem has been solved

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