# Construct a square ABCD, the area of which is 16 cm * Divide it by two line segments into 4 even

**Construct a square ABCD, the area of which is 16 cm * Divide it by two line segments into 4 even squares. Find the area of each square. Compare it with the area of square ABCD.**

The area of a square is found by the formula length squared. Accordingly, in order to find the length of a square, we need to extract the square root of its area.

1) root of 16 = 4 (cm) – length value.

According to the condition of the problem, the straight lines divided the sides in half, therefore, to find out the length of the new squares (they will be equal to each other), we need to divide the length of the main square by 2.

2) 4/2 = 2 (cm) – the values of the lengths of the new squares.

3) 2 * 2 = 4 (cm ^ 2) – the area of one new square.

4) 16/4 = 4 – the difference between the area of a large square and a small one.

Answer: a large square is 4 times larger than the area of small squares, the area of small squares is 4 cm ^ 2