Please help me with my maths!?

Question

Here are the scans for the questions I need help with.

They're pretty tricky so...any kind of help would be appreciated.

Thanks.

:)

http://i94.photobucket.com/albums/l94/jarellybean/mathsqs1.jpg

http://i94.photobucket.com/albums/l94/jarellybean/mathsqs2.jpg

Answer 1

15a.  A4 paper is designed so that if you cut a sheet in half, you're left with two smaller sheets of paper whose lengths and widths are in the same ratio as the original sheet.  It was specially designed this way so that you can take something written on full sized sheets of paper, and photocopy two copies of it to the same sheet without any overlapping.

So if you start off with a sheet that's L by W, when you split it into two pieces, the width of the small piece is L/2 and its length is W.  We said these had to be in the same ratio as the big piece, so

L/W = W/(L/2), which simplifies to L/W = 2W/L

c) You're given the formulas for length and with of "A' series paper.  So plug in N=4.

d) Take the L and W expression from part c, multiply them together, and simplify.

16.  Do like they say: research the golden ratio.  Fascinating stuff.  Use Yahoo.com to search for "Golden ratio" and "Golden rectangle".