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
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Question 151800: 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 triangle 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 ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! 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 triangle 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
:
Let x = the length of the 3rd side
:
It says:
"One side is 6 ft shorter than the 3rd side" write it;
(x - 6)
and
"one side is 5 ft longer than the 3rd side": write it:
(x+5)
;
Perimeter = 29 ft, therefore:
x + (x-6) + (x+5) = 29
3x - 6 + 5 = 29
3x - 1 = 29
3x = 29 + 1
x =
x = 10 ft is the 3rd side
:
I'll let you determine the other sides, check your answers in the perimeter
