SOLUTION: 1. 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 Jen

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Question 178601: 1. 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) (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 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 =
x = 11 ft is the third side
;
I'll let you determine the other two sides, make sure they add up to 32.