Garden

The area of a square garden is 6/4 of triangle garden with sides 56 m, 35 m, and 35 m.

How many meters of fencing need to fence a square garden?

Correct result:

x =  119 m

Solution:

$$\begin{gathered} S_{\mathrm{\square }}={\displaystyle \frac{6}{4}}{S}_{\mathrm{△}} \\ {a}^2={\displaystyle \frac{6}{4}}\cdot {\displaystyle \frac{1}{2}}\cdot 56\cdot \sqrt{35^2-{\displaystyle \frac{56^2}{4}}}=882m^2 \\ a=29.7m \\ {S}_{\mathrm{\square }}=882m^2 \\ {S}_{\mathrm{△}}=588m^2 \\ x=4a=119\text{ m} \end{gathered}$$

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