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Question

# The city council has planned to build a park in the following shape: The area of the park will be .

A
52.2 sq m
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B
46.11 sq m
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C
36 sq m
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D
56.11 sq m
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Solution

## The correct option is A 52.2 sq mThe area of the given playground can be split as: The areas of the three parts can be further rearranged as: Part 2 is a big rectangle and the triangular parts 1 and 3 also combine to form a smaller rectangle. We know, Area of a rectangle = Length × Breadth The area of the big rectangle (Part 2) can be calculated as: Area = Length × Breadth = 8.7 m × 5.3 m = 46.11 sq m So, the area of Part 2 is 46.11 sq m. Next, we calculate the area of the smaller rectangle formed by Part 1 and Part 3. Calculating the area of the smaller rectangle, we get: Area = Length × Breadth = 8.7 m × 0.7 m = 6.09 sq m So, the area of the smaller rectangle is 6.09 sq m. Now, the total area of the park can be calculated as: ∴Area of the park = 46.11 sq m + 6.09 sq m = 52.2 sq m Hence, the total area of the park is 52.2 sq m.

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