# Land

Rectangular triangular land has area 30 square meters and 12 meters long leg. How many meters of the fence do you need for fencing this land?

Result

x =  30 m

#### Solution:

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

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@bfox
I am trying to find side a

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