Question

a paper has dimensions of 12 inches by 9 inches what is the minimum number of square all having the same dimensions that can be cut out from the paper with minimum wastage​?

Answer 1

Given :  a paper has dimensions of 12 inches by 9 inches

To Find : what is the minimum number of square all having the same dimensions that can be cut out from the paper with minimum wastage​

Solution:

To find minimum number square  we need to find maximum side of square

Let say say side of Square is X inch

then XA = 12

       XB  = 9  

=> X is the HCF of 12 and 9  for to be largest

12 = 2 * 2 * 3

9 = 3 * 3

HCF = 3

X  = 3

Square Size = 3 x 3  

Number of Squares  = 9 * 12 / (3 * 3)  = 3 * 4  = 12 Square

12 Squares with no wastage

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