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

${\huge{\bold{\underbrace{\overbrace{Question:-}}}}}$

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?

${\huge{\bold{\underline{\overline{Given:-}}}}}$

Perimeter of Rectangular room is 40 m.

The total cost in which room is floored is Rs. 2592 .

The rate of flooring is Rs. 27 m².

The length of room is 12 m .

$\sf{To\:Find}$

• Perimeter of room .

$\sf{Analysis}$

When the length is greater than the breadth so the shape is Rectangular.

So,

• The room is in Rectangular shape .

${\sf{\green{\underline{\underline{Solution:}}}}}$

▪︎ The area of room is $\sf\fbox{The\: total \:cost\:in\:which\:room\:is\:floored.}$$\sf\fbox{The\:rate\:of\:flooring\:at\:per\:m²}$

Here,

• The total cost in which room is floored is Rs. 2592 .
• The rate of flooring is Rs. 27 m².

》Area of room -: $\sf{\frac{2592}{27\:m²}}$

》Area of Rectangular room -: 96 m²

As , We know that ,

Area of Rectangle -:

• $\sf{\rightarrow {A= l \times b}}$

Here,

• Length of Rectangular room ( l ) -: 12 m
• Breadth of Rectangular Room ( b ) -: ??
• Are of Rectangular room ( A ) -: 96 m²

$\sf{\rightarrow { 12 \times b= 96 m²}}$

$\sf{\rightarrow { b = \frac{96}{12}}}$

$\sf{\rightarrow { b= 8 m }}$

☆ Breadth of Rectangular room -: 8 m

As , We know that ,

Perimeter of Rectangle -:

$\sf{\rightarrow {P = 2 \times(l+ b)}}$

Here ,

• Length of Rectangular room ( l ) -: 12 m
• Breadth of Rectangular Room ( b ) -: 8 m .
• Perimeter Rectangular room ( P ) -: ??

$\sf{\rightarrow { 2(12 + 8 )}}$

$\sf{\rightarrow { 2 \times 20 }}$

$\sf{\rightarrow { P = 40 m }}$

Hence ,

Perimeter of Rectangular room is 40 m .