Question

A rectangular park is 8 miles long and 6 miles wide. A jogging path divides the park diagonally in half. Find the length of the jogging path.

A. 2 mi.
B. 5 mi.
C. 10 mi.
D. 13 mi.

Answer 1

Option D) 10mi

Explanation:

A rectangle has 90 degree angles. When a line cuts it diagonally, it makes a right angle.

When there is a right angle we think about the Pythagorean theorem.

a²± b² = c²

Plug the values:

8²+6²= c²

Simplify:

64+36 = c²

Combine like terms:

100 = c²

Rooting hypotenuse we get

10 = c

The length of the path is 10 miles.

Answer 2

Answer is C. 10 miles