Mathematics
27.04.2023 16:02
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Pat has two sheets of large, square stamps. one sheet consists of $9$ stamps arranged

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 $36$ stamps arranged in a $6$-by-$6$ 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 $6$-by-$6$ sheet have?
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Yvette538
Yvette538
5,0(38 marks)
Given:
3 stamps by 3 stamps. total length of crease is 18 inches
6 stamps by 6 stamps. 

I illustrated the stamps and found the in the 3 stamps by 3 stamps sheet, there are 4 lines that follows the crease. 

18 inches / 4 crease line = 4.50
4.50 / 3 stamps  = 1.50 size of the stamps.

I also illustrated the 6 stamps by 6 stamps and found that 10 crease lines will be formed.

6 stamps * 10 lines = 60 lines
60 x 1.50 = 90 total length of the crease in the 2nd sheet.
Pat has two sheets of large, square stamps. one sheet consists of $9$ stamps arranged in a $3$-by-$3
danielanderson12
danielanderson12
4,9(58 marks)
C is irrational because there is no definite square root for 15 whereas the square root of 36=6

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