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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 m
The 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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