Word problem question

Question

A roll of weather striping is 6 feet long. How many rolls are needed to go around 3 square windows that measures 3 feet on each side, and a rectangular window that measures 3 feet by 5 feet? 

Answer 1

Robin,

 

Weather striping goes along the perimeter of windows to seal out drafts so you need to find the total length of striping required by calculating the perimeters of the windows.

 

Hope that helps!

Answer 2

Alright so you would start by finding the perimeter of the windows so that you know how many feet you need to go around each window.

 

Let's start with the square windows. They are 3 feet on each side so P=3+3+3+3=12

There are 3 square windows so you need 12*3=36 feet of weather stripping

 

Now the rectangular window. It is 3 by 5 so its perimeter is, P=3+3+5+5 = 16

So you will need 16 feet of weather stripping.

 

Now that we know how much is needed for the windows, we total this up and get that we need a total of 52 feet of weather stripping to completely go around every window.

 

They sell rolls of 6 ft so by dividing 52/6 we can get how many rolls we need.

 

52/6 = 8.6667

 

Thus, you will need 9 rolls.

 

Hope this helps!

Answer 3

First, we have to figure out the perimeter of the square window and the rectangular window.

The perimeter of the square window will be 4(3) = 12 ft.

However, there are 3 square windows, so the total perimeter for the square window would be 12(3) = 36 ft.

The perimeter of the rectangular window will be 2(3) + 2(5) = 16 ft.

Now that we have the perimeters, we will add to find the total perimeter and that goes like this: 36 + 16 = 52 ft.

Since the weather striping is 6 ft. long per roll, we'll now divide the total perimeter by the length of the weather striping.

52 ÷ 6 = 8 remainder 4.

We cannot have 8 remainder 4 rolls of weather striping, so we round this up to 9.

Therefore, 9 rolls of weather striping is needed.