Question

Q. A rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the
field. How far does he walk?
answer choices
111.8 yards
127.3 yards
115 yards
119 yards
( plz show work

Answer 1

Answer:

111.8 yards

Step-by-step explanation:

So by walking diagonally across the field, Patrick is making a right triangle with his path (the two legs are the width and length of the field). Let a = 50, b = 100, and c = the distance Patrick walks.

For a right triangle, we use the Pythagorean Theorem: a² + b² = c²

Since you're finding c, we can rearrange (using algebra) to get: $c = \sqrt{a^{2} + b^{2}}$

Fill in the values for a and b: $c = \sqrt{50^{2} + 100^{2} } = \sqrt{12500}$ = 111.8 yards.