Tess builds a sandbox in the shape of a regular hexagon in which All te sides are 40 inches long
To calculate the area of the sandbox, we need to find the area of the regular hexagon.
A regular hexagon is a polygon with six equal sides and angles.
To calculate the area of a regular hexagon, we use the formula:
Area = 3 * √3 * (side length)^2 / 2
Given that all sides of the hexagon are 40 inches long, the formula becomes:
Area = 3 * √3 * (40 inches)^2 / 2
= 3 * √3 * 1600 square inches / 2
= 3 * √3 * 1600 / 2
= 2400 * √3 square inches
≈ 4155.58 square inches
Therefore, the area of Tess's sandbox is approximately 4155.58 square inches.