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Easier if can draw out in picture while explaining:

Area of one white triangle is 1/2 x 34 x 8. (34cm is also the side of the rectangle. 

If you unfold the paper, that white triangle goes back into the missing corner to form back the original rectangle. 

So area of two white triangles is 2 x  1/2 x 34 x 8 = 34 x 8

Shaded area = 34 x 24 – 34 x 8 = 34 x 16 = 544 sq cm

 

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