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Question
How many tiles, each of area 400 cm2, will be needed to pave a footpath which is 2 m wide and surrounds a grass plot 25 m long and 13 m wide?
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Solution
Area of grass = l × b
= 25 × 13
= 325 m2
The footpath is 2 m wide and surrounds the grass plot.
The new length of the plot, including the footpath, is:
Total length = 25 m + 2 m + 2 m
= 29 m
The new width of the plot, including the footpath, is:
Total width = 13 m + 2 m + 2 m
= 17 m
The total area is calculated using the new dimensions:
Total area = l × b
= 29 m × 17 m
= 493 m2
The area of the footpath is found by subtracting the area of the grass plot from the total area:
Area of footpath = Total area − Area of glass
= 493 m2 − 325 m2
= 168 m2
= 1680000 sq. cm
Total area = Number of tiles × Area covered by 1 tiles
⇒ 1680000 = Number of tiles × 400
⇒ Number of tiles = `(1680000)/(400)`
= 4200
Hence, the number of tiles = 4200.
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