The dimensions of a room are 16 × 14 × 10 metres. There are 4 windows of 1 . 3 m × 1 . 4 m a n d 2 d o or s o f 2 m × 1 m . What will be the cost of white washing the walls and painting the doors and windows, if the rate of white washing is R s .5 p e r m 2 and the rate of painting is R s .8 p e r m 2 .

Explanation

The room has dimensions of `16 m` by `14 m` by `10 m`.
so, the area of the four walls (including the doors and windows) of the room will be = 2(L + W)H = `2(16 + 14) xx10 = 600` sq. meters.
Now the total area of four windows and two doors = `4(1.3 xx1.4) + 2(2 xx1) = 11.28` sq. meters.
so, the painting cost of the doors and windows at the rate of `8` rs. per sq, meters will be `(11.28xx8) = 90.24` Rs
now, the area of the wall excluding the doors and windows is `(600 - 11.28) = 588.72` sq. meters.
hence, the cost of whitewashing the wall at a rate of `5` Rs. per sq. meters will be `(588.72xx5) = 2943.6` Rs.
therefore, the total cost of painting and whitewashing will be `(2943.6 + 90.24) = Rs. 3033.84`.