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

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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:
T=D/s
T=107.615055m/11.26538
Convert the meters to km
=0.1076/11.26538
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=D/s
t= 151m/11.26538
151m = 0.151km
t=0.151/11.26538
t= 0.0134039 hr
Convert to seconds
t=0.0134039
x 3600
=48.25404 s
So he would have saved
saved time= 48.2540434.385004
= 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.
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