Vertex E of square EFMN lies at the origin, and vertices F and M have coordinates F (0; 4) M (4; 4).

Vertex E of square EFMN lies at the origin, and vertices F and M have coordinates F (0; 4) M (4; 4). Find the coordinates of vertex N. Calculate the area of the square EFMN. The unit length is 1 cm.

Coordinates are given by the values (x; y) of the x and y coordinate axes.
Let’s find the coordinates of all points:
Point E: x = 0, y = 0 (origin).
Point M: x = 4, y = 4.
Point F: x = 0, y = 4.
Point N: x = 4, y = 0, that is (4; 0).

Since the unit segment is 1 cm, the length of the side of the square is 4 cm each.

The area of a square is determined by the formula:
S = a ^ 2, side a = 4 cm.
S = 4 ^ 2 = 16 cm ^ 2.
This means that the area of the square EFMN is 16 cm ^ 2.