Question

The floor of a rectangular hall has a perimeter of 250 m.Its height is 6 m.Find the cost of painting its four walls at the rate of Rs. 6 per square metre

Answer 1

Answer:

The cost of painting the four walls at the rate of Rs 6 per meter will be Rs 9000.

Step-by-step explanation:

Given that the perimeter of the hall is 250 m and the height being 6 meters then we start off by calculating the specific sizes of the length and width.  

The size of the length of the floor is assumed as x meters

Then the width is calculated as $(the total perimeter- the sum of individual lengths of the floor)/2$

(250-(x+x))/2 = (125- x )m

We proceed to the calculation of total surface area of the four walls.

The total Area of the longer walls is calculated as $(The length of the floor* height of the hall)*2$

X*6= 6x m *2

    =12x m ²

The total area of the width walls will be calculated as (The width of the floor * the height of the wall)*2

=((125-x)*6)*2

= (750-6x)*2

= (1500-12x) m ²

Proceeding to calculate the cost of painting the wall at the rate of Rs 6 per metre

$Cost = Total area * Rate of painting per meter$

       Total area = (1500-12x) +12x

                          =1500 m

Cost= 1500m * Rs 6/m

      =Rs 9000