An engineering firm designs a custom hexagonal screw for a computer board. A sketch of the top of the screw is below. To the nearest tenth, what is the area of the screw head?
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The area of the screw head is 93.5m².
The area of the hexagon can be illustrated based on the formula:
A = 3✓3/2 × a²
Base = 12.
Height = 3.
Area of each triangle = 0.5 × 12 × 3 = 18
Area of the rectangle = 12 × 6 = 72
Therefore the area of the screw head will be:
= 3√3/2 × 72
= 93.5m²
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