Question

15. A verandah is 40m long and 6m broad. It is to be paved with stones, each stone measuring 4dm and 2dm. Find the numbers of stones required?​

Answer 1

⇒ Given:

A verandah is 40 m long and 6 m broad.

It is to be paved with stones of measure 4dm x 2dm each.

⇒ To Find:

The no. of stones required.

⇒ Solution:

Here, we must be using a conversion formula as it is not possible to calculate two values of different measures.

Here, the basic formula of converting 1 m to dm will be used:

$\sf{\implies\:1\:meter=10\:decimeter}$

Here, it is given that the length and breadth of the verandah are 40 m and 60 m respectively.

Henceforth:

✳ 40 m = 40 x 10 = 400dm

✳ 6 m = 6 x 10 = 60dm

Now, we need to find the area of the verandah and one stone.

The verandah:

Length = 400dm

Breadth = 60dm

Formula to be applied:

$\sf{\implies\:Area=length\times\:breadth}$

Applying the same formula here with the required values:

$\sf{\longrightarrow\:Area=400\times60}$

$\sf{\longrightarrow\:Area=24000\:dm^2}$

The area of the verandah is 24000 dm².

The stone:

Length = 4dm

Breadth = 2dm

Formula to be applied:

$\sf{\implies\:Area=length\times\:breadth}$

Applying the same formula here with the required values:

$\sf{\longrightarrow\:Area=4\times2}$

$\sf{\longrightarrow\:Area=8\:dm^2}$

The area of one stone is 8dm².

Now, we need to find the no. of stones required to pave the verandah. The formula to be used is:

$\sf{\implies\:No.\:of\:stones=\dfrac{Total\:area}{Area\:of\:1\:stone}}$

Applying the formula here:

$\sf{\longrightarrow\:No.\:of\:stones=\dfrac{24000}{8}}$

$\sf{\longrightarrow\:No.\:of\:stones=3000}$

Therefore, the no. of stones required is 3000.

Answer 2

Answer:

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