Garden fence

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

Result

x =  48 m

Solution:

S=96 m2 a=16 m S=ab/2 b=2 S/a=2 96/16=12 m c=a2+b2=162+122=20 m x=a+b+c=16+12+20=48 mS=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}

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Pythagorean theorem is the base for the right triangle calculator.
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