There is a square with sides 12 cm. Straight lines were drawn through the midpoints of the sides, breaking

There is a square with sides 12 cm. Straight lines were drawn through the midpoints of the sides, breaking the square into 4 identical figures. What is the area of each of the new shapes?

Decision
Drawing straight lines through the midpoints of the sides of a given square, we get figures with equal sides. The resulting 4 identical figures are also squares, the sides of which are equal to each other and equal to half the side length of a given square, that is, a = A / 2, where A is the side length of a given square, and a is the side length of each of the resulting squares.
a = 12/2 = 6 (cm).
The area of ​​the square s is equal to the length of the side squared.
s = a * a;
s = 6 * 6 = 36 (sq. cm).
Consider the 2nd option for solving the problem.
The square was divided into 4 identical squares. Consequently, the area s of each of them is 4 times less than the area of ​​the given one.
The area of ​​a given square S = 12 * 12 = 144 (sq. Cm). Let’s find the area of ​​each of the resulting ones:
s = S / 4 = 144/4 = 36 (sq. cm)
Answer: the area of ​​each of the new figures is 36 sq. Cm.