Question

A rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the field. How far does he walk?

Answer 1

Answer:

Patrick walk approximately 112 yards.

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Answer 2

Given: A rectangular field is 50 yards wide and 100m yards long. Patrick walks diagonally across the field.

To find: Distance Patrick walks

Explanation: Length= 100m

Breadth= 50m

Since, Patrick walks along the diagonal of the rectangle, we need to find the length of the diagonal of this rectangle. Since every angle of rectangle is 90° , we can simply apply Pythagoras theorem to find the length of the diagonal and hence the distance Patrick walks.

Using Pythagoras theorem:

$diagonal = \sqrt{ {length}^{2} + {breadth}^{2} }$

$diagonal = \sqrt{ {100}^{2} + {50}^{2} }$

$diagonal = \sqrt{10000 + 2500}$

$diagonal = \sqrt{12500}$

= 111.8 yards

Therefore, Patrick walks a distance of 111.8 yards along the diagonal of the rectangle.