Question

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

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.