Question

Mr. Hernandez has 41 feet of rope to enclose a pentagonal grazing area for his sheep. Sides of the pen are represented by: x, 7 - 5x, 3x - 2, 3x + 4, 5-3x. Which inequality could be used to find the possible perimeters of the grazing area?

Answer 1

Option (B)

Explanation:

Length of the rope Mr Hernandez has = 41 feet

He wants to enclose an area in the shape of a pentagon.

Therefore, minimum length of the rope required = perimeter of the pen

Perimeter of the pentagonal pen = Sum of the measures of all five sides of the pen

Perimeter = x + (7 - 5x) + (3x - 2) + (3x + 4) + (5 - 3x)

= (-x + 14)

Now the length of the rope should be more than and equal to the perimeter of the pen to cover.

41 ≥ (-x + 14)

Or

-x + 14 ≤ 41

Therefore, Option (B) will be the answer.