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Dr Fiendish tells his p*g, Freddy, to mow the northeast side of the lawn(blue). However , Freddy accidentally mows the southwest side(yellow). What is the difference (in units squared) between the part Freddy has mowed and the part he should mow?

 

 Jun 5, 2020
 #1
avatar+21953 
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Assuming that the blue triangle is a right triangle:

  --  using the Pythagorean Theorem, we get the missing side to be 5

  --  the area will be:  ½·5·12  =  30 

 

The yellow triangle is a 30-60-90 triangle, so:

  --  the side opposite the 30o angle is  13/2

  --  the side adjacent to the 30o angle is  (13/2)·sqrt(3)

  --  the area will be:  ½·( 13/2 )·[ (13/2)·sqrt(3) ]  =  (169/8)·sqrt(3)

 

The difference in area is:  | 30  -  (169/8)·sqrt(3) |

 Jun 5, 2020
 #2
avatar+179 
-1

Aw man, I was still thinking >:(

Varxaax  Jun 5, 2020

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