Wednesday, 24 February 2010

Math Challenge 22

*
Given the diagram of boxes below, determine, in the fastest possible way, the area of the dark blue region.

Assume the individual boxes to be 1 unit square in area.


Give your answer in the comment space, please.

Maths does not involve plain counting.
It involves some form of intelligence to get things going.

:-)

.

4 comments:

Anonymous said...

52

M said...

8 by 8 minus 5 = 59.
Although i wonder if the white line at the top was made by purpose.

sam said...

7 x 8 = 56
56 - 4 = 52 unit sq.


if those boxes above the line arent included:

7 x 7 = 49
49 - 4 = 45 unit sq.

EeHai said...

sam got it correct.

You may use the replacement technique to cover the white space with similarly shaped blue areas.
In this case, 4 white boxes are exposed.