Rectangle JANO

The rectangle has side lengths | JA | = 16cm and | AN | = 12cm. Point S is the center of the JO side and point T is the center of the JA side. Calculate the perimeter of the pentagon in cm.

Correct answer:

o =  52 cm

Step-by-step explanation:

$$\begin{gathered} a=16\text{ cm } \\ b=12\text{ cm } \\ x=\sqrt{(a\mathrm{/}2{)}^2+(b\mathrm{/}2{)}^2}=\sqrt{(16\mathrm{/}2{)}^2+(12\mathrm{/}2{)}^2}=10\text{ cm } \\ o=a+b+a\mathrm{/}2+x+b\mathrm{/}2=16+12+16\mathrm{/}2+10+12\mathrm{/}2=52\text{ cm} \end{gathered}$$

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