The length and breadth of a room are in the ratio of $3 : 2$ Its height is equal to half of its length. If the cost of carpeting the floor at Rs $4.00$ per $m^{2}$ is Rs $216$ , then the area of four walls (in $m^{2})$ is

135

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

40

No worries! We‘ve got your back. Try BYJU‘S free classes today!

125

No worries! We‘ve got your back. Try BYJU‘S free classes today!

120

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $135$
Let the length and breadth be $2 x$ and $3 x$ respectively.
Then, floor area $= 6 x^{2}$ sq.m.
Cost of flooring at the rate of Rs. $4.00$ per $m^{2} =$ Rs. $216$
$∴ 6 x^{2} \times 4 = 216$
$∴ x^{2} = 9$
$∴ x = 3$
$∴$ Length $= 3 x = 9$ m
Breadth $= 2 x = 6$ m
and Height $= \frac{1}{2} \times$ length $= 4.5$ m
$∴$ Area of four walls
$= 2 ($ length $\times$ height $+$ breadth $\times$ height $)$
$= 2 [9 \times 4.5 + 6 \times 4.5] = 135$ m $^{2}$

Suggest Corrections

Similar questions

Q. The length and breadth of a room are in a ratio 3 : 2. The cost of carpeting the room at Rs 25 per m² is Rs 1350 and the cost of papering the four walls at Rs 15 per m² is Rs 2580. If one door and two windows occupy 8 m², find the dimensions of the room.

Q. Length of class-room is two times its height and breadth is

1 \frac{1}{2}

times its height. The cost of white washing the walls at the rate of

R s . 1.60

per

m^{2}

R s . 179.20

. Find the cost of tiling the floor at the rate of

R s . 6.75

per

m^{2}

The length of a room is 1.5 times of its breadth. The cost of carpeting the at Rs. 5 per sq. m is Rs. 270 and the cost of papering the four walls at Rs. 10 per $m^{2}$ is Rs. 1720. If a door and 2 windows occupy 8 sq. m, find the height of the room.

Q. Area of four walls of a room is

108 m^{2}

. If height and length of room are in the ratio 2: 5 and height and breadth are in the ratio 4: 5. The area of the floor of the room is

Q. The four walls and ceiling of a room are to be repaired. The length and breadth of the room are

8 m a n d 4 m

and its height

3 m

. Find the cost of repair at

R s . 30

per

m^{2}

Join BYJU'S Learning Program

The length and breadth of a room are in the ratio of 3:2 Its height is equal to half of its length. If the cost of carpeting the floor at Rs 4.00 per m2 is Rs 216, then the area of four walls (in m2) is

The length and breadth of a room are in the ratio of $3 : 2$ Its height is equal to half of its length. If the cost of carpeting the floor at Rs $4.00$ per $m^{2}$ is Rs $216$ , then the area of four walls (in $m^{2})$ is