# The floor of a rectangular hall has a perimeter 250 m. If the cost of painting the four walls at the rate of Rs 10 per m2 is Rs 15000, find the height of the hall.[Hint: Area of the four walls = Lateral surface area]

Given: Perimeter of the floor of hall = 250 m, Cost of painting the four walls = Rs. 15, 000
To Find: Height of the hall
Let length, breadth, and height of the rectangular hall be l m, b m, and h m respectively.

Area of four walls = 2lh + 2bh = 2(l + b) h

Perimeter of the floor of hall = 2(l + b)

Perimeter of the floor of hall = 250 m
Therefore, 2(l + b) = 250 m
Putting this value in the formula of Area of four walls we get,

Area of four walls = 2(l + b) h

Area of four walls = 250h m2

Cost of painting per m2 area = Rs 10

Cost of painting 250h m2 area = Rs (250h × 10)

= Rs 2500h

However, it is given that the cost of painting the walls is Rs 15000

15000 = 2500h

h = 6

Therefore, the height of the hall is 6 m

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Surface Area and Volume of Right Circular Cylinders42 mins
Surface Area and Volume of Spheres40 mins
Smart Revision | Surface Areas and Volume of Solids31 mins
Quiz | Surface Area and Volumes43 mins
Surface Area and Volume of Right Circular Cone37 mins
R D Sharma | Surface Area and Volumes39 mins
RD Sharma | Surface areas and volumes of Cube & Cuboid33 mins
Quiz | Mensuration42 mins
NCERT | Miscellaneous Shapes43 mins
Surface Area and Volume of Cone24 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses