Hayley has a set of 16 square boxes to arrange for a field day game of bean bag toss. Hayley wants to be able to arrange the boxes into as many rectangular patterns as possible. Harry suggests that she use 19 square boxes instead of 16 square boxes. He claims that using more boxes lets her make more arrangements. LOOK AT PIC
On the grid, draw and label all of the different rectangular shapes that Hayley can make with 16 square boxes and with 19 square boxes.

Hayley has a set of 16 square boxes to arrange for a field day game of bean bag toss. Hayley wants to be able to arrange the boxes into as many rectangular patterns as possible. Harry suggests that she use 19 square boxes instead of 16 square boxes. He claims that using more boxes lets her make more arrangements.

LOOK AT PIC
Do you agree or disagree with Harry’s claim? Explain your answer using prime and composite numbers. Use the drawings of the rectangles in your answer.