Answer:
shaded Area hexagon = Around 281 squared feet
shaded area square 24 squared inches
Step-by-step explanation:
regular hexagon is made up of 6 equilateral triangles. All sides are equal
The formula for finding the area of a hexagon is Area = (3√3 s2)/ 2 where s is the length of a side of the regular hexagon.
Side big hexagon = 12
side small hexagon = 6
BIG A= (3√3 144)/ 2 = 374.1230...
small (3√3 36)/ 2 = 93.5307...
shaded = BIG minus small
374.1230... - 93.5307... = 280.5923... squared feet
BIG SQUARE diagonal = 8
area of a square using diagonals = ½ × d2 Square units.
= ½ × 64 = 32 Square units.
small square (diagolal 4)
½ × 16 Square units. = 8 square inches
Area shaded 32-8 = 24 square inches
