A rectangular counter is covered with 600 square tiles. The counter could have been covered with 400 tiles 1 cm longer on a side. How do you find the length of a side of the smaller tile?

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Answer 1 · 2016-03-30T14:19:34

The side length of the smaller tile is 2 cm

Let the length of 1 of the 600 tiles be #L_t#

Then Length of counter be #L_c#

S0# " "L_c = 600L_t#

But we are told the length of 1 of the 400 tiles is #L_t+1 cm#

So we have:

#400(L_t+1)=L_c=600L_t#

#400L_t+400=600L_t#

#=>L_t(600-400)=400#

#=>L_t=400/200 = 2 cm#