Parallelogram

Find the parallelogram's perimeter, where base a = 8 cm, height v = 3 cm, and angle alpha = 35° is the magnitude of the angle at vertex A.

Correct answer:

o =  26.4607 cm

Step-by-step explanation:

$$\begin{gathered} a=8\text{ cm } \\ v=3\text{ cm } \\ \alpha =35\text{ ° } \\ \sin \alpha =v:x \\ x=v\mathrm{/}\sin \alpha \mathrm{°}=v\mathrm{/}\sin 35\mathrm{°}=3\mathrm{/}\sin 35\mathrm{°}=3\mathrm{/}0.573576=5.23034\text{ cm } \\ o=2\cdot a+2\cdot x=2\cdot 8+2\cdot 5.2303=26.4607\text{ cm} \end{gathered}$$

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