Question

A square of side $a$ is cut along its diagonal. Which of the following statements is true?

• A. Perimeter of the square does not change.
• B. Area of the square $=2\times$ Area of triangle
• C. Area of the square does not change
• D. Perimeter of the square $=2\times$ Perimeter of triangle

Answer 1

The correct option is B

Area of the square $=2\times$ Area of triangle

When we cut the square along the diagonal, we get 2 equal triangles. The area of these triangles, together add up to give the area of the square.