Step-by-step explanation:

Given:

• Six identical rectangles create 2 squares

• The area of the smaller square is 36 square units

Formula:

• Area of a square = side²

• Area of a rectangle = length x width

Number sentence:

• The total area of the six rectangles is equal to the area of the two squares.

• 6 x area of rectangle = 2 x area of square

Solution:

• To find the area of each rectangle, we need to first find the area of each square.

• Since the smaller square has an area of 36 square units, its side length is √36 = 6 units.

• Therefore, the larger square has a side length of 6 x √2 units, and its area is (6 x √2)^2 = 72 square units.

• Using the formula above, we can find the area of each rectangle:

• 6 x area of rectangle = 2 x area of square

• 6 x area of rectangle = 2 x 72area of rectangle = (2 x 72) / 6

• area of rectangle = 24 square units

Answer:

The area of each rectangle is 24 square units.