Discover answers to your most pressing questions at Westonci.ca, the ultimate Q&A platform that connects you with expert solutions. Explore a wealth of knowledge from professionals across various disciplines on our comprehensive Q&A platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

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?

Sagot :

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 = [tex] \sqrt{{a^{2} }+ b^{2}} [/tex]
                                          =  [tex] \sqrt{{2^{2} }+ 1.5^{2}} [/tex]
                                          =  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:

idk

Step-by-step explanation:

Thanks for using our platform. We're always here to provide accurate and up-to-date answers to all your queries. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.