you have 24 feet of fence to make a rectangular garden....PROBLEM SOLVING?

mimanisbenji · #1 (**permalink**) 11-13-2007, 04:56 AM

each side will measure a whole number of feet. how many different-sized rectuangular gardens can you make

sup · #2 (**permalink**) 11-13-2007, 04:58 AM

11, one for every foot from 23 to 13

mich · #3 (**permalink**) 11-13-2007, 05:04 AM

You can make
L W
11 1
10 2
9 3
8 4 PS you can make 6 different ones
7 5
6 6

language is a virus · #4 (**permalink**) 11-13-2007, 05:10 AM

Six.

Adjacent side lengths: (1,11), (2,10), (3,9), (4,8), (5,7), (6,6).

The shortest side is one unit length so let's start there.
2 sides of length 1 = 2 units
2 remaining sides of length 11

Then add a unit to the shortest side
2 sides of length 2 = 4 units
2 remaining sides of length 10

Similarly, you may have rectangles whose adjacent sides are of lengths (3 and 9), (4 and 8), (5 and 7), (6 and 6). Once you go beyond (6 and 6) you start repeating the sizes of previous rectangles.