Cool Algebra III
Level
pending
A hall can be paved with 200 squares tiles of a certain size. If each tile were 5cm longer each way it would take 128 tiles. Find the length of each tile(in cm.)
The answer is 20.
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Let the side of 1 tile be x
Area of 1 tile = x^2{this means x square}
area of 200 tiles = area of room
area of room = 200 x^2
length of tile when 5 cm increased = x+5cm
area of room = 128(x+5)^2 {this means x+5 ka whole square}
area of room is same so
200 x^2= 128(x+5)^2
x=20 cm