SOLUTION: Could you please tell me how to go about this solving this problem. I don't know where to begin. Thanks Jenny wants to utilize a portion of her garden for growing flowers. Bein

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Question 148570This question is from textbook
: Could you please tell me how to go about this solving this problem. I don't know where to begin. Thanks
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 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 length of each side of the triangular area that Jenny has visualized. This question is from textbook

Answer by aswathytony(47) (Show Source):
You can put this solution on YOUR website!
let the third side of the triangle be x.
given one side is 6 feet shorter than third side
i.e. first side = x - 6
second side is 5 feet longer than third side
second side = x + 5
given perimeter = 29
i.e sum of three sides = 29
(x-6) + (x+5) + x = 29
x + x + x - 6 + 5 = 29
3x - 1 = 29
3x = 29 +1 = 30
x = 30 / 3 = 10
x - 6 = 10 - 6 = 4
x + 5 = 10 + 5 = 15
i.e sides of the triangle are 4 feet, 15 feet & 10 feet.