Question 178601
a side of the triangular area 3 feet shorter and the other 2 feet longer than
 the third side. She also wants to restrict the perimeter of the triangular
 area to 32 feet, so that it does not cover a huge area of the garden.
 Determine the maximum length of each side of the triangular area.
:
let x = length of the third side
then
(x-3) = length of the 1st side
and
(x+2) = length of the 2nd side
;
:
Add the three sides to get the given perimeter
(x-3) + (x+2) + x = 32
x + x + x - 3 + 2 = 32
3x - 1 = 32
3x = 32 + 1
3x = 33
x = {{{33/3}}}
x = 11 ft is the third side
;
I'll let you determine the other two sides, make sure they add up to 32.