Question

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We are given,

Height of room $h=4.5m$

Let, length of room be $l$ and breadth of room be $b$

$→$ Now, we are given that,

The cost of preparing of four walls is $Rs.324$

So, for one wall $=4324 =81Rs$

$→$ The wall can be made of breadth and height $A=b×h$

$→$ For $1m_{2}$ cots $1.5Rs$

So, For how many $m_{2}$ cots $81Rs$

So, Area of one wall $=1.581×1 =54m_{2}$

$→$ But $A=b×h$

So, $b=hA =4.554 =12m$

$→$ Now, $bl =35 ⇒$ let $bl =k$, where $k∈R$

$l=5k$ & $b=3k$

but $b=12m$ so, $k=34$

so, length $l=5(k)=5(4)=20$

$⇒$ so length & breadth are $20m$ and $120m$ respectively.

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