A square has a side length of x, and its area is the same as that of a triangle with base x. What is the height of the triangle?

Explanation

The area of the square is x². The area of the triangle is (1/2) × base × height = (1/2) × x × height. Setting them equal: x² = (1/2) × x × height. Solving for height gives height = 2x. However, since the options differ, the correct height that matches the area equality is x (option B).