Question

A park is in the shape of a rectangle 2 miles long and 1.5 miles wide. How much shorter if you walk diaganolly across the park rather than along two sides?

Answer 1

You can answer this by using Pythagoras theorem. Okay, let me draw this first.

            2 miles
               V
________________________
|                                        |
|                                        |
|                                        |   << 1.5 miles
|_______________________|  

^ Assume this is the rectangle. The long side is 2 miles while the shorter side is 1.5 miles.

So, to get the shortest distance, let's cut out a triangle from the rectangle. 

                                                         /|
                                                       /  |
                                                     /    |
What we want to find is this one >  /      |  << 2 miles
                                                  /        |
                                                /______|
                                                   ^ 1.5 miles (I know the size is not logical,but imagine                                                                       it please)

So to get the diagonal length = $\sqrt{{a^{2} }+ b^{2}}$
                                          =  $\sqrt{{2^{2} }+ 1.5^{2}}$
                                          =  2.5 miles

To calculate how much shorter = ( 2 miles + 1.5 miles) - 2.5 miles
                                             = 3.5 miles - 2.5 miles
                                             = 1.0 miles

Hope this help !

Answer 2

Answer:

idk

Step-by-step explanation: