Posted by Thelma on Wednesday, April 9, 2014 at 9:02pm.
let the dimensions of the first plot be x by y
let the dimensions of the second plot be a by b
where x,y, a, and b are all integers.
so we want:
xy + ab = 60, and
x-y = a+b
There are many combinations that will work
e.g.
15 2 30 3 10 30
x=15
y=2
a=3
b=10
area of first = 30, area of 2nd = 30, total = 60
difference of 1st dimensions = 15-2 = 13
sum of 2nd dimensions = 3+10 = 13
I ran a simple 1980's type of "BASIC" program and got the following:
my columns are :
thex, the y, the first area, the a , the b, the area of the 2nd.
you can check any one of them , they all work
10 for x = 1 to 60
20 for y = 1 to 60
30 for a = 1 to 60
40 for b = 1 to 60
50 if (x*y+a*b) = 60 then goto 60 else goto 200
60 if (x-y) = (a+b) then print x,y,x*y,a,b,a*b
200 next b
210 next a
220 next y
230 next x
>run
11 5 55 1 5 5
11 5 55 5 1 5
12 4 48 2 6 12
12 4 48 6 2 12
13 3 39 3 7 21
13 3 39 7 3 21
13 4 52 1 8 8
13 4 52 8 1 8
14 2 28 4 8 32
14 2 28 8 4 32
14 3 42 2 9 18
14 3 42 9 2 18
15 1 15 5 9 45
15 1 15 9 5 45
15 2 30 3 10 30
15 2 30 10 3 30
16 1 16 4 11 44
16 1 16 11 4 44
16 3 48 1 12 12
16 3 48 12 1 12
17 2 34 2 13 26
17 2 34 13 2 26
18 1 18 3 14 42
18 1 18 14 3 42
21 2 42 1 18 18
21 2 42 18 1 18
22 1 22 2 19 38
22 1 22 19 2 38
31 1 31 1 29 29
31 1 31 29 1 29