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Jules owns a square plot of land that measures 30 yards on each side. He plans to divide the land in half by building a fence, as shown by the dotted line below. How many yards of fencing will Jules need?

a) 15 yd
b) 30 yd
c) 30 square root 2 yd
d) 30 square root 3 yd

Jules owns a square plot of land that measures 30 yards on each side He plans to divide the land in half by building a fence as shown by the dotted line below H class=

Respuesta :

calculista

we know that

The length of the fence is equal to the length of the diagonal of the square

so

Applying the Pythagoras theorem

[tex]BD^{2} =DC^{2}+BC^{2}[/tex]

we have

[tex]DC=BC=30\ yd[/tex]

substitute

[tex]BD^{2} =30^{2}+30^{2}[/tex]

[tex]BD^{2} =1,800[/tex]

[tex]BD=\sqrt{1,800}=30\sqrt{2} \ yd[/tex]

therefore

the answer is the option C

[tex]30\sqrt{2} \ yd[/tex]

snehashish65

Jules will need the fencing length of [tex]30\sqrt{2} \;\rm yards[/tex]  to build the fence. Hence, option (c) is correct.

Given data:

The length of each side of yard is, AB = BC = CD = AD = 30 yards.

As shown by the dotted line, the fencing should be done along the diagonal BD of the given square plot. Then, applying Pythagoras theorem to find the fencing length BD as,

[tex]BD^{2}=BC^{2}+CD^{2}[/tex]

Substitute the values as,

[tex]BD^{2}=30^{2}+30^{2}\\\\BD=\sqrt{900+900}\\\\BD=\sqrt{1800}\\\\BD=30\sqrt{2}\;\rm yards[/tex]

Thus, we can conclude that Jules will need the fencing length of  [tex]30\sqrt{2} \;\rm yards[/tex] to build the fence along the square plot. Therefore, option (c) is correct.

Learn more about the Pythagoras theorem from here:

https://brainly.com/question/23936129

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