Hayley has 16 square boxes to make an array of rectangular shapes on a grid. Harry says if she uses 19 square boxes she will get more arrays. Do you aree or disagree with Harrys' claim? Explain your answer using prime and composite numbers. Use the drawings of the rectangles in your answer.

Question

Hayley has 16 square boxes to make an array of rectangular shapes on a grid.  Harry says if she uses 19 square boxes she will get more arrays.  Do you aree or disagree with Harrys' claim?  Explain your answer using prime and composite numbers.  Use the drawings of the rectangles in your answer.

drwls · Answer

We cannot draw figures for you, and it It is not clear what you mean by an "array". Does it have to be rectangular N x M array with all elements filled by a box? If so, you can make more arrays with 16 because it is not a prime number.

19 -> 1 x 19 or 19 x 1
16 -> 1 x 16, 16 x 1, 2 x 8, 8 x 2, and 4 x 4

Ahmed · Answer

19->1]^.>~>|\352564