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# A balcony 2 metre wide is made all around surrounding two adjacent sides of a rectangular room office of size 6 m and 4 m. What is the area of the balcony what is the cost of cementing the balcony if the rate is rupees 250 per metre square?

**Given:**

A balcony 2 metre wide is made all around surrounding two adjacent sides of a rectangular room office of size 6 m and 4 m.

The rate of cementing is rupees 250 per metre square.

To do:

We have to find the area of the balcony and the cost of cementing the balcony.

**Solution:**

We know that,

The area of a rectangle of length $l$ and breadth $b$ is $lb$.

Therefore,

Area of the office room $=6\times4\ m^2=24\ m^2$.

Length of the room including the width of the balcony $=6+2=8\ m$.

Breadth of the room including the width of the balcony $=4+2=6\ m$.

Area of the room including balcony $=8\times6\ m^2=48\ m^2$.

This implies,

Area of the balcony $=$ Area of the room including balcony $-$ Area of the room excluding balcony

$=(48-24)\ m^2$

$=24\ m^2$

Cost of cementing $1\ m^2=Rs.\ 250$

Cost of cementing the balcony $=Rs.\ 250\times24$

$=Rs.\ 6000$

**The total cost of cementing the balcony is Rs. 6000.**