Jenny wants to utilize a portion of her garden for growing flowers. Being a designer herself, she visualizes a

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 5 feet shorter and the other 4 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.

Jenny wants to utilize a portion of her garden for growing flowers. Being a designer herself, she visualizes a
Let x = length of the third side

x + 4 = length of the 2nd side

(x + 4) - 5 = length of first side

29 feet = perimeter of the triangle



P = x + (x + 4) + [(x + 4) - 5] = 29

x + x + 4 + x + 4 - 5 = 29

3x + 3 = 29

3x = 29 - 3

3x = 26

x = 26/3

x = 8 2/3 feet, 3rd side

x + 4 = 8 2/3 ft + 4ft = 12 2/3 ft, 2nd side

x + 4 - 5 = 12 2/3 - 5 = 7 2/3, 1st side



ANSWERS: 8 2/3 ft, 12 2/3 ft, and 7 2/3 ft



Hope this helps.



teddy boy
Reply:sides are x-5, x+4 and x.



perimeter

= (x-5) + (x+4) + x

= 3x - 1 ≤ 29



3x ≤ 29 + 1

x ≤ 30/3

x ≤ 10



but remember that

x-5 %26gt; 0, and

(x-5) + x %26gt; x+4

2x - 5 %26gt; x+4

x %26gt; 9



range : 9 %26lt; x ≤ 10



answer :

longest sides are 5ft, 14ft and 10ft.

shortest sides are 4+ft, 13+ft and 9+ft. (and it won't be a nice flowerbed to look at. rather looks like a straight line than a triangle).
Reply:SIDE 1: 6.66 feet

SIDE 2: 10.66 feet

SIDE 3: 11.66 feet

total of 29.98 feet ??

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