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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-> 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 151855: 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.
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
:
One side: 10-6 = 4 ft
and
Another side: 10+5 = 15 ft
;
Check solutions using the perimeter
10 + 4 + 15 = 29 ft
