SOLUTION: Jenny wants to utilize a portion of her garden for growing flowers. Being a designer herself, she visualizes a triangular area with different lengths for each side. For this Jenny

Algebra ->  Inequalities -> SOLUTION: Jenny wants to utilize a portion of her garden for growing flowers. Being a designer herself, she visualizes a triangular area with different lengths for each side. For this Jenny       Log On


   

Question 207146: Jenny wants to utilize a portion of her garden for growing flowers. Being a designer herself, she visualizes a triangular area with different lengths for each side. For this Jenny decides to keep 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 that Jenny has visualized.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
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 3rd side
then
(x-3) = short side
and
(x+2) = long side
:
Perimeter
x + (x-3) + x+2) = 32
:
3x - 1 = 32
:
3x = 32 + 1
x = 33%2F3
x = 11 ft is the 3rd side
and
8 ft is the short side
and
13 ft is the long side
:
Check
11 + 8 + 13 = 32