Question

Explain why it is possible to draw more than two different rectangles with an area of 36 square units, but it is impossible to draw more than two different rectangles with an area of 15 square units. The sides of the rectangles are whole numbers.

Answer 1

Area=legnth times width
see the factor pairs
36=
1*36
2*18
3*12
4*9
6*6
more than 2 factor pairs so more than 2 ractangles


15 factor pairs
15=
1*15
3*5
those only
there are only 2 factor pairs