Question

Q3



the cost of painting the walls of a room at the rate of rs. 1.35 per m2



is rs. 340.20 and the cost of matting the floor at the rate of rs. 0.85



per m2 is rs. 91.80. If the length of the room is 12 m, then the



height of the room is:

Answer 1

Answer:

Height of room is $42\sqrt{3}\hspace{0.1cm}m$

Step-by-step explanation:

Rate of painting the walls of a room $= Rs 1.35\hspace{0.1cm}per\hspace{0.1cm}m^2$

Total Cost of painting the walls $= Rs\hspace{0.1cm}340.20$

Thus, area of walls is

$=\frac{340.20}{1.35}\\\\=252 m^2$

Also, Rate of matting the floor $= Rs\hspace{0.1cm}0.85 \hspace{0.1cm}per\hspace{0.1cm}m^2$

Total cost of matting the floor $= Rs 91.80$

Thus, area of floor is

$=\frac{91.80}{0.85}\\\\=108 m^2$

Assuming floor to be a square, we have

$Area = Side^2\\\\Side^2 = 108\\\\Side = \pm\sqrt{108}\\\\Side = \pm6\sqrt{3}$

Since, side can never be negative

Hence, side of floor $= 6\sqrt{3}$

Now, Wall of room is rectangle.

$Area = Side \times Height\\\\252 =6\sqrt{3} \times Height \\\\Height =\frac{252}{6\sqrt{3}}\\\\Height = 42\sqrt{3}$

Height of room is $42\sqrt{3}\hspace{0.1cm}m$