What is the area of a square with an apothem of 5 square root 3

Answer 1

You can form a 45-45-90 right triangle where the apothem is the a perpendicular to the base of the square and opposite one 45 degree angle and 1/2 the side of the square is opposite the other 45 degree angle.

Since the apothem is 5, then 1/2 the square is also 5, and the whole side of the square is 10.

The area of a square is one side of the square squared or 10*10 = 100