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?

Answer 1

110 ft

Explanation:

Since the cattle pen should be rectangular with an area of 753 square feet, if one side is 26 ft long, the other side must be:

`L=(754)/(26)=29\ ft`

The total amount of fence needed is equal to the perimeter of the rectangular cattle pen. The rancher will need:

`P = 2*26+2*29\\P=110\ ft`

The total amount of fence needed is 110 ft.