top button
Flag Notify
    Connect to us
      Facebook Login
      Site Registration Why to Join

    Get Free Puzzle Updates

Facebook Login
Site Registration

What are the dimensions of rectangle A6 in the following image?

0 votes
78 views

What are the dimensions of rectangle A6 in the following image?

enter image description here

Assumptions
1. A sheet of A0 paper is a rectangle with an area of precisely one square meter. Its length (the long side) is twice its width.
2. When A0 paper is cut in half across its long side, two sheets of A1 paper are formed. Likewise, when A1 paper is cut in half across its long side, A2 paper is formed, and so on.
3. All rectangles in the series (A0, A1, A2, ...) are similar.

posted May 4, 2017 by anonymous

Share this puzzle
Facebook Share Button Twitter Share Button Google+ Share Button LinkedIn Share Button Multiple Social Share Button

1 Answer

0 votes

I think assumption 1 part 2 is not correct! The correct assumption is: the square of length is twice the square of width. Now the Answer:
Define variable a to be the width of paper size A6.
Then its length would be 1.4142 x a (square root of 2) which is equal to width of paper size A5
subsequently, for sizes A4, A3, A2, A1 and finally for paper size A0:
The width would be 8a and its length 8a x 1.4142

As we have the area of A0 as one square meter or 1000000 mm, therefor:
8a x 8a x 1.4142 = 1000000

a = 105 mm

the width of paper size A6 is 105 mm
and its length is 105 x 1.4142 = 148 mm

answer May 8, 2017 by anonymous



Similar Puzzles
+1 vote

What should be the ratio of the dimensions of a rectangle such that when you take off of it a largest possible square you end up with a rectangle with the same aspect ratio as that of the original ?

0 votes

If blue rectangle area is equal to the sum of 3 squares areas combined as in image, what is relation between a,b,c & d?

What is the relation between a,b,c & d

0 votes

If l and m are parallel lines in the following image then what is the measure of angle x?

Angle x

Contact Us
+91 9880187415
sales@queryhome.net
support@queryhome.net
#280, 3rd floor, 5th Main
6th Sector, HSR Layout
Bangalore-560102
Karnataka INDIA.
QUERY HOME
...