3) your college quadrangle is 85 meters long and 66 meters wide.

Tutor: None Selected Time limit: 1 Day

Oct 3rd, 2015

Thank you for the opportunity to help you with your question!

The shape is rectangular: I mean the quadrangle is a rectangle...

length 85m width  66m

cutting across means you make a right angled triangle and you travel through the hypotenuse;

For us to find the distance we can use the principles of trigonometry to get the length:

We have opposite, adjacent and hypotenuse sides: the adjacent is the base of a triangle and is 85M while opposite side is the height and is 66m

The hypotenuse is given by: The square root of base square + adjacent squared

This gives:

85^2 + 66^2= 11581 

The square root becomes

= 107.615055  m

Calculate the time when using the shortcut:

Speed is 7 miles/hr

Distance is 107.615055 metres

Convert to Kilometers/Hour

1 mile =1.60934 Km

7 miles gives

1.60934 x 7 = 11.26538 Km/hr

we have distance we need to know time:



Convert the meters to km


0.00955139 Hours

Multiply by 3600 to get it in seconds

0.00955139  x 3600

t= 34.385004 s

The longer route would cost how much time?

The total distance is  66+85=151m


t= 151m/11.26538

151m = 0.151km


t= 0.0134039 hr

Convert to seconds

t=0.0134039  x 3600

=48.25404 s

So he would have saved

saved time= 48.25404-34.385004

= 13.869036  seconds

Go through  it and get the concept

Please let me know if you need any clarification. I'm always happy to answer your questions.
Sep 15th, 2015

Oct 3rd, 2015
Oct 3rd, 2015
Oct 27th, 2016
Mark as Final Answer
Unmark as Final Answer
Final Answer

Secure Information

Content will be erased after question is completed.

Final Answer