Question

A park is in a shape of a rectangle that is 9 kilometers long and 12 kilometers wide. A dog runs diagonally from one corner across the park to the other corner. how far did the dog run

Answer 1

To find the distance the dog ran diagonally across the rectangular park, we can use the Pythagorean theorem. The diagonal forms the hypotenuse of a right triangle, where the lengths of the sides of the triangle are the length and the width of the rectangle.

Let:
- Length (a) = 9 kilometers
- Width (b) = 12 kilometers

According to the Pythagorean theorem:

\[
c = \sqrt{a^2 + b^2}
\]

Now substituting the values:

\[
c = \sqrt{(9)^2 + (12)^2}
\]
\[
c = \sqrt{81 + 144}
\]
\[
c = \sqrt{225}
\]
\[
c = 15 \text{ kilometers}
\]

Therefore, the dog ran **15 kilometers** diagonally across the park.