Answer:
cost of the fabric = $22
Explanation:
The picture is a regular hexagonal which means it has six sides of equal length. The triangle in the hexagons are equilateral triangle. This means they have equal length. The blue portion is just like half the area of the hexagon while the white part is also half the area . Note both colors cover 3 triangle each.
area of the hexagon = 3/2 × √3 × a²
where
a = sides
area of the hexagon = 3/2 × √3 × a²
a = 5 ft
convert ft to yard
3 ft = 1 yard
5 ft = 5/3 = 1.6666666667 yards
area = 3/2 × √3 × 1.6666666667²
area of the hexagon = 7.21687836516 yard²
Half of the area is the blue section area because 3 triangle makes half of the hexagon = 7.21687836516/2 = 3.60843918258 yard². Note we can only order whole number of square fabric . Therefore, 3.60843918258 ≈ 4
blue fabric cost $3.50 per square yard.
The cost for this yard = 4 × 3.50 = $14
white fabric cost $2 per square yard .
The cost for this yard = 4 × 2 = $8
Total cost = 14 + 8 = $22
cost of the fabric = $22