Find the perimeter and area of a square with side AB if A (-1.7); B (4.8). The unit segment is 1 cm.

We have the coordinates of two points – A (-1; 7) and B (4; 8).

Find the area and perimeter of the square whose side is the segment AB.

Let’s find the size of the side AB, then the values we need.

| AB | = ((4 + 1) ^ 2 + (8 – 7) ^ 2) ^ (1/2);

| AB | = (25 + 1) ^ (1/2);

| AB | = 26 ^ (1/2) cm.

The perimeter of a square is the size of the side of the square multiplied by 4.

P = 4 * | AB | = 4 * 26 ^ (1/2) cm.

The area of a square is the square of the size of the side of the square.

S = | AB | ^ 2 = 26 ^ (1/2) * 26 ^ (1/2) = 26 cm².