Question

A rectangular park, with dimensions of 1500 feet by 2000 feet, has a diagonal walking path that goes from the top northeast corner to the bottom southwest corner. How long is the walking path? A) 250 feet B) 2500 feet C) 3500 feet D) 5,000 feet

Answer 1

Answer:

The length of diagonal is 2500 feet.

Step-by-step explanation:

Given a rectangular park, with dimensions of 1500 feet by 2000 feet, has a diagonal walking path that goes from the top northeast corner to the bottom southwest corner.

we have to find the length of walking path i.e of diagonal.

As all angles of rectangle are of 90° and we have to find the length of diagonal.

∴ By Pythagoras theorem

$(Diagonal)^2=(Length)^2+(Breadth)^2\\\\(Diagonal)^2=(2000)^2+(1500)^2\\\\(diagonal)^2=4000000+2250000\\\\diagonal=\sqrt{6250000}=2500 feet$

Hence, the length of diagonal is 2500 feet.

Answer 2

B I hope it’s right