A rectangle with integer side lengths has perimeter 10.what is the greatest no.of these rectangles that can be cut from a piece of paper with width 24 & length 60?
Ans: 360
Source: kaplan GRE
Thanks
GRE Forum Archive
2 postsPage 1 of 1
- patrakakali79
- Forum Guests
- Posts: 9
- Joined: Fri Nov 01, 2013 7:53 am
- tommywallach
- Manhattan Prep Staff
- Posts: 1917
- Joined: Thu Mar 31, 2011 11:18 am
Re: Geometry
Hey Patra,
Well, there are only two rectangles that fit the bill:
1 x 4 (4 + 4 + 1 + 1 = 10)
2 x 3 (2 + 2 + 3 + 3 = 10)
The first one has an area of 4, and the second has an area of 6. So we'll get more rectangles out of the 1x4.
So if we take the piece of paper, we can fit 60 of the rectangles along the side that's 60 (assuming we place the 1" side of the little rectangles against that side). That means we then have the 4" side along the 24" side of the paper, which will fit 6 times.
60 * 6 = 360
Hope that helps!
-t
Well, there are only two rectangles that fit the bill:
1 x 4 (4 + 4 + 1 + 1 = 10)
2 x 3 (2 + 2 + 3 + 3 = 10)
The first one has an area of 4, and the second has an area of 6. So we'll get more rectangles out of the 1x4.
So if we take the piece of paper, we can fit 60 of the rectangles along the side that's 60 (assuming we place the 1" side of the little rectangles against that side). That means we then have the 4" side along the 24" side of the paper, which will fit 6 times.
60 * 6 = 360
Hope that helps!
-t
2 posts Page 1 of 1