Land

A rectangular, triangular piece of land has an area of 30 square meters and a 12 meter-long leg. How many meters of fence do you need to fence this piece of land?

Correct answer:

x =  30 m

Step-by-step explanation:

$$\begin{gathered} A=30{\text{m}}^2 \\ a=12\text{m} \\ A=\frac{ab}{2} \\ b=2\cdot A/a=2\cdot 30/12=5\text{m} \\ c=\sqrt{a^2+b^2}=\sqrt{12^2+5^2}=13\text{m} \\ x=a+b+c=12+5+13=30\text{m} \end{gathered}$$

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