4. A rectangular family room is 18 feet long

and 14 feet wide. Mr. Herzog has pieces of

chair rail that are each 16 feet long that he

wants to install around the perimeter of the

room. How many pieces of chair rail will

Mr. Herzog need?

Mr. Herzog will need 4 pieces of the chair rail

Step-by-step explanation:

* Lets explain how to solve the problem

- A rectangular family room is 18 feet long and 14 feet wide

- Mr. Herzog has pieces of chair rail that are each 16 feet long that he

wants to install around the perimeter of the room

- We want to find how many pieces he will need

- The perimeter of any rectangle = 2l + 2w, where l is the length

and w is the width of it

∵ The length of the room is 18 feet

∵ The width of the room is 14 feet

∴ The perimeter of the room = 2 (18) + 2 (14) = 36 + 28 = 64 feet

- Now we can find the number of the pieces of the chair rail by

dividing the perimeter of the room by the length of a piece of

the chair rail

∵ The length of each chair rail is 16 feet

∵ The perimeter of the room is 64 feet

∴ The number of the pieces = 64 : 16 = 4

∴ Mr. Herzog will need 4 pieces of the chair rail