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An equilateral triangle and a square have the same perimeter of 12 inches. What is the ratio of the area of the triangle to the area of the square? Express your answer as a common fraction.

 Jul 2, 2022
 #1
avatar+124526 
+2

Area of square =  (12/4)^2  = 3^2  = 9

 

Area of equilateral   triangle =   (1/2) * 4^2  * sin (60°) =  8 sqrt (3) / 2  =  4sqrt (3)

 

Ratio of areas  =   [ 4sqrt (3) ]  / 9

 

 

cool cool cool

 Jul 2, 2022
 #2
avatar+1113 
+1

i think its 4/3. 

nerdiest  Jul 2, 2022

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