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A rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered.If the area of the field is 680 sq.ft, how many feet of fencing will be required ?

  • A.84 feet
  • B.88 feet
  • C.85 feet
  • D.89 feet

Answer: B

Only three sides are fenced, and the 20 ft side is left open.

\[ \text{other side} = \frac{680}{20} = 34 \text{ ft} \]

The open side is one of the pair of 20 ft sides, so the fencing covers the other 20 ft side and both 34 ft sides:

\[ 20 + 34 + 34 = 88 \text{ ft} \]

Fencing all four sides would need the full perimeter of 108 ft; leaving out one 20 ft side saves exactly 20 ft.

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