Question

The internal dimensions of a rectangular room are 6m,5m,and 3.5m. it has two doors of size 1.2m by 2m and three windows of size 1m by 1.9m.The walls of the room are to be papered with a wallpaper of width 70cm. find the cost of the paper at the rate of 6.50 per metre

Answer 1

internal dimensions=6m×5m×3.5m.
Area of 4 walls=2((3.5×5)+(3.5×6))=77m²
Area of doors=2×1.2×2=4.8m²
Area of windows=3×1×1.9=5.7m²
Total surface area=66.5m²
Length of paper=665000/70=9500cm=95m
Total cost=95*6.5=₹617.5

Answer 2

Answer:

The cost of the required wallpaper = 617.5 Rs    

Step-by-step explanation:

Given data

The internal dimensions of a rectangle room =  6 m × 5 m × 3.5 m

there two doors and three windows in the room  

⇒ dimensions of the two doors = 1.2 m × 2 m

⇒ dimensions of the windows  = 1 m × 1.9 m

the walls of the room are to be papered with a wallpaper

the width of the wallpaper = 70 cm = 0.7 m  

the cost of the wallpaper per meter = 6.50 Rs  

⇒ here we need to find total cost of the wallpaper which can be used

⇒ now calculate area of the room, doors and windows

the surface area of the room walls =2 h (l+b)  

here  h = height =  3.5 m ,

         l  = length  = 6 m    

         b = breadth = 5 m      

⇒ area of the room walls = 2(3.5) (6 + 5)

                                         = 7 (11) = 77 m²  

⇒ area of the 2 doors    = 2 ( 1.2×2)  = 2(2.4) = 4.8 m²

⇒ area of the 3 widows = 3( 1× 1.9) = 3(1.9) = 5.7 m²

area of the walls that can be papered when doors and windows are excluded = area of room walls - area of doors - area of windows

               = 77 m²   - 4.8 m² - 5.7 m²  

               = 66.5 m²

⇒ the total area of the paper required = 66.5 m²

⇒ the length of the wall paper required = 66.5/ width of the wallpaper

                                                                  = $\frac{66.5}{0.7}$ =  95 m

the cost of the wall paper per metre = 6.50 Rs

the cost of the wall paper per 95 metres = 6.50 × 95 = 617.5 Rs