Question

A rancher wants to use a fence as an enclosure for a rectangular cattle pen with area 754 square feet. Suppose he decides to make one side of the pen 26 feet long. What is the total amount of fence needed? a. 84 feet b. 110 feet c. 61 feet d. 81 feet

Answer 1

b. 110 feet

Explanation:

Take one-twenty-sixth of 26 to get 29, then double each number in the sum to get 110:

`(754)/(26) = 29 \\ \\ 2[29] + 2[26] = 110 \\ \\ 58 + 52 = 110 \\ \\ 110 = 110`

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Answer 2

To find the length of the other side, divide the area by the length of the known side:

754 / 26 = 29 feet.

A rectangle has two identical sides, so the length of the fence would be:

26 + 26 + 29 + 29 =110 feet.

The answer is b. 110 ft.