Respuesta :
Jules needs [tex]30\sqrt{2}[/tex] yards for fencing.
Given that
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.
We have to determine
How many yards of fencing will Jules need?
According to the question
Jules owns a square plot of land that measures 30 yards on each side.
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]\rm BD^2 = BC^2+CD^2\\ \\ BD^2 = (30^2+(30)^2\\ \\ BD^2 = 900+ 900\\ \\ BD^2 =1800\\ \\ BD = \sqrt{1800}\\ \\ BD = 30 \sqrt{2}[/tex]
Hence, Jules needs [tex]30\sqrt{2}[/tex] yards for fencing.
To know more about Pythagoras Theorem click the link given below.
https://brainly.com/question/26297554
