Trapezoid RT

The plot has a shape of a rectangular trapezium ABCD, where ABIICD with a right angle at the vertex B. side AB has a length 36 m. The lengths of the sides AB and BC are in the ratio 12:7. Lengths of the sides AB and CD are a ratio 3:2. Calculate consumption mesh for fence plot.

Correct result:

x =  105.19 m

Solution:

$x=36+7\mathrm{/}12\cdot 36+2\mathrm{/}3\cdot 36+36\cdot \sqrt{1\mathrm{/}3\cdot 1\mathrm{/}3+7\mathrm{/}12\cdot 7\mathrm{/}12}=105.19\text{ m}$

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