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Pat has two sheets of large, square stamps. One sheet consists of 9 stamps arranged in a 3-by-3 square. (That's 3 stamps by 3 stamps, not 3 inches by 3 inches.) The other sheet consists of 100 stamps arranged in a 10-by-10 square. The stamps on each sheet are separated by perforated creases. All the stamps on both sheets are the same shape and size.

The total length of the creases on the 3-by-3 sheet is 18 inches.

How many inches of creases does the 10-by-10 sheet have?

 Oct 11, 2020
 #1
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First, let's take a look at the 3 by 3 sheet of stamps. 

There are two vertical creases between the three columns of stamps. 

These two creases comprise a total of six vertical stamp-lengths. 

Similarly for the two horizontal creases, six horizontal stamp-lengths. 

That makes a total of 12 stamp-lengths of creases. 

It's given that there are 18 inches of crease in the 3 x 3 sheet.  

Therefore these square stamps are 1.5 inches on a side.  

 

Figure the 10 by 10 sheet the same way. 

Nine vertical creases, creating 90 stamp-lengths of vertical crease. 

Nine horizontal creases, creating 90 stamp-lengths of horizontal crease. 

That totals 180 stamp-lengths of crease in the 10 x 10 sheet. 

Since each stamp is 1.5 inches on a side, the total length of crease is 1.5 • 180 =  270 inches 

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 Oct 11, 2020
edited by Guest  Oct 11, 2020
 #2
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There are 4 creases in the 3x3    totaling   18 inches   each crease is 4.5 in

  10 x 10 will have 18 creases that are 10/3 longer

     18 * 10/3 * 4.5 = 270 inches 

 Oct 11, 2020

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