The area of the grid is 268.56 cm². To find it, calculate the area of each shape (a square and four circles) and add them together.
To find the area of the grid, we need to calculate the area of each shape and then add them together. The grid consists of a square and four circles. The area of the square can be found by multiplying the length of one side by itself.
In this case, the side length is 16 centimeters, so the area of the square is 16 cm * 16 cm = 256 cm². The area of each circle can be found using the formula A = πr², where r is the radius.
The diameter of each circle is 2 cm, so the radius is 1 cm.
Therefore, the area of each circle is 3.14 * 1 cm * 1 cm = 3.14 cm².
Since there are four circles, the total area of the circles is 4 * 3.14 cm² = 12.56 cm². Finally, we add the area of the square and the area of the circles to find the total area of the grid:
256 cm² + 12.56 cm² = 268.56 cm².