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

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Question 151698: Jenny wants to utilize a portion of her garden for growing flowers. Being a designer herself, she visualizes a triangular area with different lenghts for each side. For this Jenny decides to keep a side of the triangular area 6 feet shorter and the other 5 feet longer than the third side. She also wants to restrict the perimeter of the triangular area to 29 feet, so that it does not cover a huge area of the garden. Determine the lenght of each side of the triangular area that Jenny has visualized.
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!
Okay, we know adding the 3 sides of a triangle gives us the Perimeter right?
Let's appoint "x" as measurement of the sides and based the conditions on this measurement.
1st side: She decided one side to be 6 feet shorter, = x-6
2nd side: She wants the other side 5 feet longer, = x%2B5
3rd side: x
Given Perimeter=29ft, therefor we can get the side by adding the three:
29=%28x-6%29%2B%28x%2B5%29%2Bx
29=3x-1 ---------> 29%2B1=3x
cross%2830%2910%2Fcross%283%29=cross%283%29x%2Fcross%283%29
x=10ft ------------> 3rd side
10-6=4ft --------------> 1st side
10%2B5=15ft --------------> 2nd side
Checking,
29ft=10ft%2B4ft%2B15ft
29ft=29ft
Thank you,
Jojo