Garden

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?

Result

x =  119 m

Solution:

S□=64S△ a2=64⋅12⋅56⋅352−5624=882 m2 a=29.7 m S□=882 m2 S△=588 m2  x=4a=119 mS_{ \square} = \dfrac{ 6 } 4 S_{\triangle} \ \\ a^2 = \dfrac{ 6 } 4 \cdot \dfrac{ 1 } {2 } \cdot 56 \cdot \sqrt{ 35^2- \dfrac{ 56^2 } { 4 } } = 882 \ m^2 \ \\ a = 29.7 \ m \ \\ S_{ \square} = 882 \ m^2 \ \\ S_{ \triangle} = 588 \ m^2 \ \\ \ \\ x = 4a = 119 \ \text{m}

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