Question

Select the correct answer.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?ymm8.€4-2-x mmO-2--4--4OA15.6 mm2.OB. 93.5 mm2OC 62.4 mm2OD.1871 mm²402

Answer 1

We will have the following:

We can see that the shape of the head can be subdivided in smaller shapes, that is:

Now, we calculate the 5 areas, that is:

`\begin{gathered} A_1=((6)(3))/(2)\Rightarrow A_1=9 \\ \\ A_2=((6)(3))/(2)\Rightarrow A_2=9 \\ \\ A_3=(6)(12)\Rightarrow A_3=72 \\ \\ A_4=((6)(3))/(2)\Rightarrow A_4=9 \\ \\ A_5=((6)(3))/(2)\Rightarrow A_5=9 \end{gathered}`

Now, the total area is:

`\begin{gathered} A_T=A_1+A_2+A_3+A_4+A_5\Rightarrow A_T=9+9+72+9+9 \\ \\ \Rightarrow A_T=108 \end{gathered}`

So, the total area is 108 mm^2-