Square

If we increase one side of square by its one-half then square perimeter increase by 10 cm.

What is the side of the square?

Correct result:

a =  5 cm

Solution:

$4\cdot (a+a/2) = 4a + 10 \ \\ \ \\ 6a = 4a + 10 \ \\ 2a = 10 \ \\ a = 5 \ \text{cm}$

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