DamiahS470991 DamiahS470991
  • 03-11-2022
  • Mathematics
contestada

A farmer is telling a rectangle field that is 63 yards long and 60 yards wide what is the distance between opposite corners of the farmers field?

A farmer is telling a rectangle field that is 63 yards long and 60 yards wide what is the distance between opposite corners of the farmers field class=

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DallanaC353075 DallanaC353075
  • 03-11-2022

Answer:

87 yards

Explanations:

Given the following parameters:

• Length of the rectangle = 63 yards

,

• Width of the rectangle = 60 yards

The distance between opposite corners of the farmer's field is the diagonal of the rectangle.

To determine the diagonal of the rectangle (d), we will use the Pythagoras theorem:

[tex]\begin{gathered} d^2=l^2+w^2 \\ d^2=63^2+60^2 \\ d^2=3969+3600 \\ d^2=7,569 \\ d=\sqrt[]{7,569} \\ d=87yards \end{gathered}[/tex]

Hence the distance between opposite corners of the farmers' field is 87 yards

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