the diagram below shows a rectangle inside a regular hexagon the apothem of the hexagon is 15.59 units to the nearest square units what is the area of the shaded region

Question

Vocaloid · Answer

area of shaded region = area of hexagon - area of rectangle

area of hexagon = 6 * area of each triangle = 6 * (1/2) * (apothem) * side length of the hexagon
area of rectangle = bh

substitute the values from the problem into the first equation to find the shaded area

Vocaloid · Answer

In the future it would be beneficial to upload any associated diagrams ^^