A rectangular path 60 m × 3 m is covered by tiles of 25 cm side. Find number of tiles.
Step 1: Convert metres to centimetres (so all units match)
60 m = (60 imes 100) cm = (6000) cm
3 m = (3 imes 100) cm = (300) cm
Step 2: Find the area of the rectangular path
Area = length × width
= (6000 imes 300) cm(^2)
= (18{,}00{,}000) cm(^2)
Step 3: Find the area of one square tile
Side of tile = (25) cm
Area of 1 tile = side × side
= (25 imes 25) cm(^2)
= (625) cm(^2)
Step 4: Number of tiles needed
Number of tiles = (dfrac{ ext{Total area of path}}{ ext{Area of 1 tile}})
= (dfrac{18{,}00{,}000}{625})
Simplify the division in easy steps:
(625 = 25 imes 25)
(18{,}00{,}000 div 25 = 72{,}000)
Now, (72{,}000 div 25 = 2{,}880)
Answer: (2{,}880) tiles