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

156 sq. ft

No worries! We‘ve got your back. Try BYJU‘S free classes today!

592 sq. ft

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

520 sq. ft

No worries! We‘ve got your back. Try BYJU‘S free classes today!

676 sq. ft

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B 592 sq. ft
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 ft 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
$= 6 f t \times 6 f t = 36 s q . f t$

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

Now, for part B,
Breadth $= 26 f t - 6 f t = 20 f t$
Length $= 20 f t + 6 f t = 26 f t$

We 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 $= 26 f t \times 20 f t = 520 s q . f t$

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

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

Suggest Corrections

Similar questions

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

Q. Two taps

A

and

B

together fill a swimming pool in

15

days.Taps

A

and B are kept open for

12

days and then tap

B

is closed. It takes another

8

day for the swimming pool to be filled. How many days does each tap require to fill the swimming pool?

Q. it takes 12 hours to fill a swimming pool using two pipes. If the pipe of larger diameter is used for 4 hours and the pipe of smaller diameter is used for 9 hours, only half of the pool is filled. How long would each pipe take to fill the swimming pool?

Q. A swimming pool can be filled in 4 hours by 8 pumps of the same type how many such pumps are required, if the pool is to be filled in

2 \frac{2}{3}

hours?

A cuboidal swimming pool is 15m long and 12m broad. The sum of the area of the floor and the area of the lid used to cover the pool is equal to the sum of area of the four walls of the pool.
What is the amount of water contained in the swimming pool?

Join BYJU'S Learning Program