Question

The diagonal of a square is x units. What is the area of the square in terms of x?

12 square units

Answer 1

A = (x^2)/2

Explanation:

Represent the length of one side of the square by s. Then, according to the Pythagorean Theorem,

x^2 = s^2 + s^2, or x^2 = 2s^2, or (solving for s^2), s^2 = (x^2)/2

This last result is the area of the square in terms of x: A = (x^2)/2