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 m2 a=12 m  A=ab2  b=2⋅ A/a=2⋅ 30/12=5 m  c=a2+b2=122+52=13 m  x=a+b+c=12+5+13=30 mA=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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