Sunday, June 19, 2005

 

Problem# 1


fig1

In the above square of size 5 units, {A, B, C, D} are four mid points of the corresponding sides. Find the area of the shaded region.

Comments:
The area of shaded region is 4/5 sq.units.
 
Area is 5 sq.units.
 
perpendiculr distance between the lines joining the mid points is sqrt 5
so the area has to be sq(sqrt5)= 5
 
" perpendiculr distance between the lines joining the mid points is sqrt 5"

Hmmm, good! But could you elaborate how?

-Sujeet
 
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