The figure consists of eight identical squares, its perimeter is 84 cm, find the area of this figure.

It is known from the problem statement that the figure consists of 8 identical squares. The perimeter of the entire figure is 84 centimeters.

First, let’s calculate the number of centimeters, which is equal to the length of one side of the square in the figure.

1) 84: 14 = 6 (centimeters) – the length of one side of the square.

Next, we calculate the area of the squares inside the shape.

2) 6 * 6 = 36 (cm2) – the area of each square inside the figure.

Now we can calculate the area of this figure.

3) 36 * 8 = 288 (cm2) – the area of the figure.

Answer: the area of the figure is 288 cm2.