Question

Shawn has 186 feet of fencing and plans to make a pig pen that is 15 feet wide. How long will the pig pen be? Remember the formula for perimeter is P = 2l + 2w, where l=length and w=width.

Answer 1

The length of the pig pen for fencing the plans is 28 feet .

Explanation:

Given as :

The measure of the fencing = 186 feet

The width of the pig pen = w = 15 feet

Let the length of the pig pen = l = x feet

Now, To find the measure of the fencing , we calculate the perimeter of the plans .

So, From perimeter method

I.e Perimeter = 2 × Length + 2 × Width

or, 186 feet = 2 × l + 2 × w

Or, 186 feet = 2 × l + 2 × 15

Or, 186 - 2 × 15 = 2 × l

or, 186 - 30 = 2 × l

Or, 2 × l = 156

∴ l =
`(156)/(2)` = 78 feet

So, The length of pig pen = l = 28 feet

Hence The length of the pig pen for fencing the plans is 28 feet . Answer