Question

The cost of flooring a room is ₹2592. The rate of flooring is ₹27 per square meter. If the
room is 12 m long, what is the perimeter of the room?

Answer 1

GIVEN :

The cost of flooring a room is ₹ 2592.

The rate of flooring is ₹ 27 per square meter.

The room is 12 m long.

TO FIND :

The perimeter of the room = ?

SOLUTION :

To find the perimeter of the room = ?

First, we have to find the area of the room,

$\implies \sf Area \ of \ floor \ = \ \dfrac {2592}{27}$

:$\implies \sf Area \ of \ room \ floor \ = \ 96 \ square \ meter$

Area of room floor = Length × breadth

Area of room floor,

$\implies \sf 96 \ = \ 12 \times b$

$\implies \sf Breadth \ = \ \dfrac {96}{12}$

$\qquad \quad \large {\boxed {\sf Breadth \ = \ 8 \ meter}}$

•°• The breadth of the room floor is 8 meter.

Perimeter of the room = ?

Perimeter = 2 (l + b)

Perimeter of the room = 2 (12 + 8)

Perimeter of the room = 2 × 20

•°• Perimeter of the room is 40 meter.

Answer 2

${\huge {\bf {\underbrace {Question}}}}$

The cost of flooring a room is ₹2592. The rate of flooring is ₹27 per square meter. If the room is 12 m long, what is the perimeter of the room?

${\huge {\bf {\underbrace {Answer}}}}$

Given:-

• The cost of flooring a room is ₹ 2592.

• The rate of flooring is ₹ 27 per square meter.

• The room is 12 m long.

To Find:-

• The perimeter of the room,

Solution:-

We have to find the area of the room,

${\sf {\implies {Area\: of\: floor = {\large \frac{2592}{27}}}}}$

${\sf {\implies {Area\: of\: room\: floor = 96\: {m}^{2}}}}$

${\pink {\sf {\boxed {Area\: of\: room\: floor = Length × breadth}}}}$

Area of room floor = 96

${\sf {\implies {96 = 12 \times b}}}$

${\sf {\implies {b = {\large \frac{96}{12}}}}}$

${\green {\boxed {\sf {\implies {Breadth = 8\: meter}}}}}$

The breadth of the room is 8 meter.

Now,

${\pink {\boxed {Perimeter\: of\: the\: room = 2 (l + b)}}}$

${\sf {Perimeter\: of\: the\: room = 2 (12 + 8)}}$

${\sf {Perimeter\: of\: the\: room = 2 × 20}}$

${\green {\boxed {\sf {Perimeter\: of\: the\: room = 40\: meter}}}}$

Perimeter of the room is 40 meter.