Find the area of a rectangle if it is made up of six identical squares, the sum of the perimeters of which is 96 cm.

The square of the rectangle will be equal to the sum of the areas of 6 squares of which it is composed.

To find the area of ​​a rectangle, you need to find the area of ​​one square. To do this, you need to find out the length of the side of the square.

The sum of the perimeters of 6 squares is 96. Find the perimeter of one square.

96: 6 = 16 (cm).

P square = 4 * a, where a is the length of one side.

Find the length of the side of the square.

a = P: 4

16: 4 = 4 (cm).

S of the square = a * a, where a is the side of the square.

Let’s find the area of ​​one square.

4 * 4 = 16 (cm2).

Let’s find the area of ​​6 such squares.

16 * 6 = 96 (cm2).

This means that the area of ​​the rectangle will be 96 cm2.

Answer: S rectangle 96 cm2.