The figure given shows a model of a room. This room fas to be wallpapered. The wallpaper comes
in the rolls of 52cm width and 15 m length.
a) Find the number of rolls required correct to 1 decimal place to cover the western, southern and
northern walls.
b) Find the number of rolls required correct to 1 decimal place to cover the three walls in eastern direction.
c) Using the answers in a) and b) above, find the number of rolls required to cover the walls of the whole room correct to 1 decimal place.
d) How many complete rolls need to be bought?
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Answers
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a) 26.4
b) 15.7
c) 42.1
d) 42.1
Given:
Roll width = 52cm = 0.52m
Roll length = 15m
a) The western wall is 5.8m wide 2.4m long
Hence, to cover the width of the wall,
0.52m x 11.1 = 5.8m
11.1 wallpapers are needed
Hence, to cover the western part 11.1 wallpapers are needed
The northern wall is 5.2m wide 2.4m long
Hence, to cover the width of the wall,
0.52m x 10 = 5.2m
10 wallpapers are needed
Hence, to cover the northern part 10 wallpapers are needed
The southern wall is 2.8m wide 2.4m long
Hence, to cover the width of the wall,
0.52m x 5.3 = 2.8m
10 wallpapers are needed
Hence, to cover the northern part 5.3 wallpapers are needed
The number of rolls required to cover the western, southern and northern walls are 11.1 + 10 + 5.3 = 26.4 wallpapers
b) The eastern wall has length of 2.4m and width of 3.2 + 2.6 + 2.4 = 8.2m
to cover the width of the wall,
0.52m x 15.7 = 8.2m
15.7 wallpapers are needed
c) To cover the walls of the whole room
wallpaper to cover the western, southern and northern walls + wallpaper cover the three walls in eastern direction = 26.4 + 15.7 = 42.1
Hence, to cover the walls of the whole room 42.1 wallpapers are needed
d) Complete rolls needed = rolls for eastern wall + western wall + southern wall + northern wall
Complete rolls needed = 6.4 + 15.7 = 42.1