Geometry Help! Please!

Question

welshfella · Answer

The 4 triangles right angled formed are congruent
Let the  smallest side of these = x  and let the area of shaded part equal y
area of each triangle = 2* x/2 = x
consider one of the large rectangles 
y + 2x  = 6

consider the shaded part which is a paralelogram 
the area = base * perpendicular height

welshfella · Answer

area= BE * DE - x
 y  = 2* (3 - x)
 y =  6 - 2x

welshfella · Answer

which is the same equation  as we had before!

how embarrassing!!


I must be missing something here.....

welshfella · Answer

the area is a rhombus  - so is there a formula for this in terms of the sides  - or diagonals?

ganeshie8 · Answer

Yes, here is an outline of solution 

step1 : show that all the four triangles outside the shaded region are congruent
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