Apark is in the shape of a rectangle 2 miles long and 1.5 miles wide. how much shorter is your walk if you walk diagonally across the park rather than along two sides of it.

Length short if I walk diagonally across the park rather than along two sides of it = 1 mile

Step-by-step explanation:

Given:

Shape of park is a rectangle

Length of park =2 miles

Width of park = 1.5 miles

Walking path is diagonally across the park.

So, we need to find length of diagonal of the park.

The diagonal of a rectangle cuts the rectangle into two right triangles as all angles of a rectangle is at right angles. So, we can apply Pythagorean theorem to find the diagonal of the rectangle.

Applying Pythagorean theorem [ ]

For the rectangle,

where represents length of diagonal

represents length of park

represents width of park

Substituting values.

Taking square root both sides to find .

miles.

So, length of my walk = 2.5 miles

Length along two sides of the park = miles

Length short if I walk diagonally across the park rather than along two sides of it = mile (Answer)

a

step-by-step explanation: