Tess builds a sandbox in the shape of a regular hexagon in which all the sides are 40 inches long.
To find the area of a regular hexagon, we can use the formula:
Area = (3√3/2) * a^2
Where "a" is the length of the side of the hexagon. In this case, a = 40 inches.
Plugging in the values, we have:
Area = (3√3/2) * (40 inches)^2
Area = (3√3/2) * (1600 square inches)
Area = (3 * 1.732/2) * 1600 square inches
Area = (5.196/2) * 1600 square inches
Area = 2.598 * 1600 square inches
Area ≈ 4156.48 square inches
Therefore, the area of Tess's sandbox in the shape of a regular hexagon with sides of 40 inches is approximately 4156.48 square inches.