Why might squaring a number and calculating the square root of a number be thought of as opposite operations?

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Asquare picture with sides of 32 inches is to be mounted on a square mat with sides of 52 inches. find the area of the mat that will remain uncovered by the picture.

Tim earns $120 plus $30 for each lawn he mows. write an iniqualityvto represent how many lawns he needs to mow to make more than $310