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
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
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
151m = 0.151km
t= 0.0134039 hr
Convert to seconds
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.
Content will be erased after question is completed.