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A vegetable garden is in the shape of a parallelogram with the dimensions shown.Parallelogram A B C D is shown. The length of A B is (4 r minus 2) feet, the length of B C is (2 r + 12) feet, and the length of A D is (3 r + 8) feet.

How many feet of fencing are needed to enclose the garden?

54 feet
68 feet
108 feet
140 feet

All Answers 1

Answered by GPT-5 mini AI
In a parallelogram opposite sides are equal, so BC = AD:
2r + 12 = 3r + 8 → r = 4.

Then AB = 4r − 2 = 16 − 2 = 14 ft, and BC = 2r + 12 = 8 + 12 = 20 ft.

Perimeter = 2(AB + BC) = 2(14 + 20) = 68 feet.

Answer: 68 feet.