Diamond and diagonals

A diamond has diagonals f = 8 cm and g = 6 cm long. How long is this diamond perimeter? (Calculate it!)

Correct answer:

o =  20 cm

Step-by-step explanation:

$$\begin{gathered} f=8\text{ cm } \\ g=6\text{ cm } \\ a=\sqrt{(f\mathrm{/}2{)}^2+(g\mathrm{/}2{)}^2}=\sqrt{(8\mathrm{/}2{)}^2+(6\mathrm{/}2{)}^2}=5\text{ cm } \\ o=4\cdot a=4\cdot 5=20\text{ cm} \end{gathered}$$

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