Garden fence

The garden has the shape of a rectangular triangle with an area of 96 square meters and a 16 m long leg. How many meters of the fence need to be fenced?

Correct answer:

x =  48 m

Step-by-step explanation:

$$\begin{gathered} S=96{\text{m}}^2 \\ a=16\text{m} \\ S=ab/2 \\ b=2\cdot S/a=2\cdot 96/16=12\text{m} \\ c=\sqrt{a^2+b^2}=\sqrt{16^2+12^2}=20\text{m} \\ x=a+b+c=16+12+20=48\text{m} \end{gathered}$$

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