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The line joining (3,2) and (6,0) divides the square shown into two parts. What fraction of the area of the square is above this line? Express your answer as a common fraction.

 Mar 12, 2019
 #1
avatar+111437 
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See the following image :

 

The area of the square = 3*3 = 9 units^2

The area BELOW the line is a triangle  with base 3  and height 2  ....so its area = (1/2)(3)(2) = 3 units^2

 

So....the area ABOVE the line must be 9 - 3  =  6 units^2

 

So....this area is  6/9  =  2/3  of the area of the square

 

 

cool cool cool

 Mar 12, 2019
 #2
avatar+25972 
0

The square is 3 x 3 = 9 sq units

The line draws a triangle   height 2  base   3     area   = 1/2 bh = 1/2 (2)(3) = 3 sq units

 

9 - 3 = 6 sq units above line      or    6/9   or  2/3 above the line

 Mar 12, 2019
edited by Guest  Mar 12, 2019

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