Question

Geometry Help! Please!

Answer 1

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

Answer 2

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

Answer 3

which is the same equation as we had before!

how embarrassing!!


I must be missing something here.....

Answer 4

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

Answer 5

Yes, here is an outline of solution

step1 : show that all the four triangles outside the shaded region are congruent