Question

A farmer has 151.1/6 feet of chicken wire. She wants to build a 4-sided chicken pen so that each side is the same length. What will be the length of each side of the pen?

A. 35.5/6feet
B. 38.2/3 feet
C.40.1/4 feet
D. 45.1/3

Answer 1

To find the length of each side of a four-sided chicken pen using 151.1/6 feet of chicken wire, the total length of wire is divided by 4.

Step-by-step explanation:

The student asked about dividing a length of chicken wire into four equal parts to create a four-sided chicken pen. The farmer has 151.1/6 feet of chicken wire in total. To find the length of each side of the chicken pen, we need to divide this total length by 4, since a four-sided pen has equal sides.

1. Convert 1/6 into a decimal to ease the division: 1/6 = 0.1667 approximately.
2. Add this to 151 to get the total length in feet as a decimal: 151 + 0.1667 = 151.1667 feet.
3. Divide the total length by 4 to get the length of one side: 151.1667 ÷ 4 = 37.7917 feet.
4. Convert this back into a mixed number if needed.

None of the options given (A, B, C, D) match the calculated result exactly. However, since we rounded the fraction to a decimal, it's crucial to perform the calculation using the exact fraction for a precise answer:

1. Divide 151 by 4: 151 ÷ 4 = 37.75 feet.
2. Add the result of dividing 1/6 by 4: (1/6) ÷ 4 = 1/24, which is 0.0417 when converted to decimal.
3. Add these two results together for the precise length of one side: 37.75 + 0.0417 = 37.7917 feet, or approximately 37.8 feet.

Therefore, the option closest to the calculated length (37.8 feet) should be chosen, and it would seem the student's options may contain a mistake as the correct answer should be 37.8 feet approximately, which is not listed among the options A to D.