Question

1) Find the cost of false ceiling a room 12 m x 8 m long with total ceiling width of 80 cm at 120 per meter?​

Answer 1

The cost of a false ceiling of a room is Rs. 14400.

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Let's understand a few concepts:

To calculate the area of the rectangle we will use the following formula:

$\boxed{\bold{Area\:of\:a\:rectangle = length \times breadth}}$

To convert cm to m we will use the following conversion rate:

$\boxed{\bold{1 \:cm = \frac{1}{100}\:m = 0.01 \:m }}$

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Let's solve the given problem:

The dimensions of the ceiling of a room:

Length = 12 m

Breadth = 8 m

∴ The area of the ceiling of a room is,

= length × breadth

= 12 × 8

= 96 m²

The width of the false ceiling = 80 cm = $\frac{80}{100} \:m = 0.8 \:m$

We have,

Ceiling width of 80 cm at Rs. 120/m

i.e., The ceiling cost is Rs. 120 for = $\frac{80}{100}\:m \times 1 \:m$ = 0.8 m²

Now,

If the cost of false ceiling 0.8 m² = Rs. 120

If the cost of false ceiling 1 m² = $Rs. \:\frac{120}{0.8}$

Then,

The cost of false ceiling 96 m² is,

= $96 \times \frac{120}{0.8}$

= $96 \times \frac{1200}{8}$

= $12 \times 1200$

= $\bold{Rs.\:14400}$

Thus, the cost of a false ceiling a room 12 m x 8 m long with total ceiling width of 80 cm at 120 per meter is Rs. 14400.

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