Question

Portage Park is a perfect square. The length of each side of the park is 200 feet.

Mr. Carter and his wife are standing at the corner of N. Long Avenue and W. Irving Park Rd. They plan to walk diagonally across Portage Park from point C to point A. Which mathematical statement could be used to find the distance they will walk?

Answer 1

Answer:

The mathematical statement that could be used to find the distance is the Pythagorean Theorem

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The triangle ABC is a right triangle

The mathematical statement that could be used to find the distance is the Pythagorean Theorem

so

$AC^2=AB^2+BC^2$

substitute the given values

$AC^2=200^2+200^2$

$AC^2=40,000+40,000$

$AC^2=80,000$

$AC=\sqrt{80,000}\ ft$

simplify

$AC=200\sqrt{2}\ ft$