If the area of square is 169cm find the length of the square?

Area = length x width. In a square, the length and width are the same measurement, since all four sides of a square are congruent. So instead of the familiar formula A = lw, you can use A = s2 where s is a side length. In this problem, you know the area but not the side length. You can still use the formula, plug in the value you know, and solve for s, the side length of the square.

A = s2

169 = s2

s = square root of 169

s = 13

Each side of the square is 13 cm. The area is 13 cm x 13 cm = 169 square cm.