wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Length of a room is twice its height and its breadth is 112 times its height. The cost of white washing the walls at the rate of 32Rs per sq. m is 3584Rs. Find the cost of tiling the floor of the room at 135Rs per sq. m.

A
6480Rs
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
6400Rs
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
6450Rs
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
6580Rs
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A 6480Rs
Let the height =h. Then Length of wall =2h and breadth =112h.
Cost of white washing wall =Rs 3584.
Area of wall white washed =Costofwhitewashingwallrateofwhitewashingpersq.m=358432=112m2
Area of wall of a room is lateral surface area of a cuboid
Then, 2h(l+b)=112
or,2h(2h+32h)=112or,2h(7h2)=112or,7h2=112or,h2=16orh=4.
Height of cuboid=h=4m
Length of cuboid=2h=8m
Breadth of cuboid=32h=6m
Area of floor =l×b
=8×6=48m2
Cost of tiling the floor at Rs.135 per sq. m =135×48=Rs.6480

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Surface Area of Solids
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon