The cost of painting the four walls of a room 12 m long at ₹30 per m2 is ₹7560 and the cost of covering the floor with mat at ₹25 per m2 is ₹2700.
The cost of painting the four walls of a room 12 m long at ₹30 per m2 is ₹7560 and the cost of covering the floor with mat at ₹25 per m2 is ₹2700. Find the dimensions of the room.
As, the rate of covering the floor $=₹ 25$ per $\mathrm{m}^{2}$
And, the cost of covering the floor $=₹ 2700$
So, the area of the floor $=\frac{2700}{25}$
$\Rightarrow$ length $\times$ breadth $=108$
$\Rightarrow 12 \times$ breadth $=108$
$\Rightarrow$ breadth $=\frac{108}{12}$
$\therefore$ breadth $=9 \mathrm{~m}$
Also,
As, the rate of painting the four walls $=₹ 30$ per $\mathrm{m}^{2}$
And, the cost of painting the four walls $=₹ 7560$
So, the area of the four walls $=\frac{7560}{30}$
$\Rightarrow 2$ (length $+$ breadth)height $=252$
$\Rightarrow 2(12+9)$ height $=252$
$\Rightarrow 2(21)$ height $=252$
$\Rightarrow 42 \times$ height $=252$
$\Rightarrow$ height $=\frac{252}{42}$
$\therefore$ height $=6 \mathrm{~m}$
So, the dimensions of the room are $12 \mathrm{~m} \times 9 \mathrm{~m} \times 6 \mathrm{~m}$.
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