# Find the area of the square abcd whose vertices have coordinates A (-2; 0) B (-2; 2) C (0; 2) D (0; 0).

August 28, 2021 | education

| Since we know the coordinates of the vertices of the square, we can determine the length of its side, while using the formula to find the distance between two points. Take points A (-2; 0) and B (-2; 2).

AB = ✓ (-2 +2) ² + (2 – 0) ² = ✓0² + 2² = ✓2² = 2.

The area of a square is equal to the square of its side.

S = a² = 2² = 4.

Answer: S = 4.

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