Question

Matt purchased a 60-foot-long roll of chain-link fence. He used the entire roll of ence to construct a rectangular pen for his dog. Given that the pen is 12 feet wide, what is the length, in feet?

Answer 1

The length of Matt's rectangular pen, constructed from a 60-foot-long roll of chain-link fence with a width of 12 feet, is 18 feet.

Step-by-step explanation:

Finding the Length of the Rectangular Pen

Matt purchased a 60-foot-long roll of chain-link fence and used the entire roll to construct a rectangular pen. We are given that the width of the pen is 12 feet. To find the length of the pen, we need to use the formula for the perimeter of a rectangle, which is P = 2l + 2w, where P is the perimeter, l is the length, and w is the width.

We know that the perimeter P is 60 feet and the width w is 12 feet. Plugging in the values, we get:

60 = 2l + 2(12)

60 = 2l + 24

By subtracting 24 from both sides, we get:

36 = 2l

Therefore, by dividing both sides by 2, we find the length:

l = 18 feet

So, the length of the rectangular pen is 18 feet.