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In the parallelogram ABCD, it is given that 3BE = 2DC and area of △DQC = 36 units^2.

Find the area of triangle △BQE.

 

 Jul 27, 2020
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The two triangles, EBQ and CDQ are similar by A-A-A.

 

Thus, the areas of the triangles are in the ratio of the squares of the corresponding sides.

 

Since 3BE = 2DC, BE = (2/3)DC and the ratio of the areas of triangle(EBQ) and triangle(CDQ)

is 4/9.

 

Since triangle(QDC) has area 36, triangle(EBQ) has area (4/9)·36  =  16.

 
 Jul 28, 2020

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