Part of a tiling design is shown. The center is a regular hexagon. A square is on each side of the hexagon, and an equilateral t

Question

andrey2020 [161]

3 years ago

6

Part of a tiling design is shown. The center is a regular hexagon. A square is on each side of the hexagon, and an equilateral t

riangle joins the squares. Complete the pattern around the hexagon and calculate the total area of the pattern.
A.403.1 in.
B.503.1 in.
C.1,119.6 in.
D.1,379.4 in.

Mathematics

1 answer:

LiRa [457] · Answer 1 · 2022-02-11T12:08:29+03:00

LiRa [457]3 years ago

3 0

Area of the squares (6):
A 1 = 6 · 10² = 600 in²
Area of the equilateral triangles (6):
A 2 = 6 · 10²√3 / 4 = = 6 · 25 · 1.73 = 259.8 in²
Area of the hexagon:
A 3 = 6 · 10²√3/4 = 259.8 in²
Total area:
600 + 259.8 + 259.8 = 1,119.6 in²
Answer: C )