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An equilateral triangle has side length 8 cm. What is the area of a region of all the points outside the rectangle that are within 3 cm of the rectangle?

 Jul 30, 2015

Best Answer 

 #1
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There are three rectangular areas, each of which has the area of  (8 x 3)cm^2 = 24 cm^2....so these three areas have a total area of 72 cm^2

 

There are also three other "curved" areas. The angle opposite the "curved" part is 120°....then....these three areas would actually just comprise a circle with a radius of 3.......and the total area is just pi*(3)^2 =  9pi cm^2

 

So...the total area would be (72 + 9pi)cm^2 = about 100.274 cm^2

 

 

  

 Jul 30, 2015
 #1
avatar+111360 
+6
Best Answer

There are three rectangular areas, each of which has the area of  (8 x 3)cm^2 = 24 cm^2....so these three areas have a total area of 72 cm^2

 

There are also three other "curved" areas. The angle opposite the "curved" part is 120°....then....these three areas would actually just comprise a circle with a radius of 3.......and the total area is just pi*(3)^2 =  9pi cm^2

 

So...the total area would be (72 + 9pi)cm^2 = about 100.274 cm^2

 

 

  

CPhill Jul 30, 2015

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