Danica has laid so they form a rectangle with a perimeter of 18 inches. What is the difference between the greatest and least possible areas of the rectangle?

Elemantary school so

area=legnth times width

to get greatest area, make legnth as close to width as possible in measure

to get least area, make legnth as far away from width as possible in measure

perimiter=2 times legnth+2 times width=2 times (legnth+width)

18=2 times (legnth+width)

divide 2

9=legnth+width

find closest and farthest

1+9 is farthest

4+5 is closest

areas=legnth times with

1 times 9=9

4 times 5=20

differnce is subtract

20-9=11

answe is 11

(note I didn't use decimals since the user is supposedly in elemenatry school)