The diagonals

The diagonals of the KOSA diamond are 20 cm and 48 cm long. Calculate the circumference of the diamond in centimeters rounded to one unit.

Correct answer:

o =  104 cm

Step-by-step explanation:

$$\begin{gathered} u=20\text{ cm } \\ v=48\text{ cm } \\ {a}^2=(u\mathrm{/}2{)}^2+(v\mathrm{/}2{)}^2 \\ a=\sqrt{(u\mathrm{/}2{)}^2+(v\mathrm{/}2{)}^2}=\sqrt{(20\mathrm{/}2{)}^2+(48\mathrm{/}2{)}^2}=26\text{ cm } \\ o=4\cdot a=4\cdot 26=104\text{ cm} \end{gathered}$$

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