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

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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

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