Question

The cost of flooring a room is ₹2,592. The rate of flooring is ₹27 per square meter. If the room is 12m long, what is the perimeter of the room?​

Answer 1

Answer:

212m is the right answer

Answer 2

AnswEr -:

Perimeter of Rectangular room is 40 m.

Given ,

• 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 .

To Find ,

• Perimeter of room .

Analysis -:

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

So,

The room is in Rectangular shape .

Solution ,

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

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 ............. [ 1 ]

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 .... [ From 1 ]

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

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

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

☆ Breadth of Rectangular room -: 8 m ....... [From 2 ]

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 ..... [ From 2]
• 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 .