Question

A farmer builds three sections of a fence as shown in the figure where L =...

A farmer builds three sections of a fence as shown in the figure where L = 10.00 m, and gets tired. Walking straight back to where he started, how far did he have to go?

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Answer #1

d = x +L

by pythogorean theorem

L^2 = x^2 + (L/2)^2

L^2 = x^2 + (L^2)/4

4L^2 = 4x^2 + L^2

3L^2 = 4x^2

given = L = 10 m

3*10^2 = 4x^2

x = 8.67 m

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