Question 169680: 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.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! 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.
Let length of 3rd side be "x" feet.
2nd side is "x-6" ft.
1st side is "x+5".
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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.
EQUATION:
x + x-6 + x+5 = 29 ft
3x = 30 ft
x = 10 ft. (3rd side)
x-6 = 4 ft.
x+5 = 15 ft.
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Cheers,
Stan H.
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