Find the area of the rectangle ABCD if: A (2; 2), B (2; 7), C (10; 7), D (10; 2).

Let’s calculate the sides of the rectangle, for this we need to take 2 points with one identical coordinate (x / y), and subtract the smaller one from the larger one:

1.B (2, 7) – A (2, 2) = 5 – side a;

2.C (10, 7) – B (2, 7) = 8 – side b;

We have side a and side b. To find the area of a rectangle, we need to multiply them:

5 × 8 = 40;

Answer: 40