A swimming pool is built near the park. Calculate the area required for the pool using the following diagram.

156 sq. m

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592 sq. m

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520 sq. m

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676 sq. m

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Solution

The correct option is B 592 sq. m
The area of the swimming pool can be divided into three parts A, B, and C as shown:

Both part A and part C are squares of side 6 m each.
You know,
$A r e a o f a S q u a r e = L e n g t h \times L e n g t h$

So, area of square A will be
$= 6 m \times 6 m = 36 s q . m .$

Area of square C will be
$= 6 m \times 6 m = 36 s q . m .$

Now, for part B, you have,
Breadth $= 26 m - 6 m = 20 m$
Length $= 20 m + 6 m = 26 m$

You know,
$A r e a o f a r e c t a n g l e = L e n g t h \times B r e a d t h$

∴ Area of rectangle B will be $= 26 m \times 20 m = 520 s q . m$

Total area of the swimming pool will be
$= A r e a o f A + A r e a o f B + A r e a o f C$ . $= 36 s q . m + 520 s q . m + 36 s q . m$ $= 592 s q . m$

Hence, the total area required for the swimming pool is $592 s q . m$

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