SOLUTION: You know that the perimeter of a certain rectangle measures 22in. If its length and width each measure a whole number of inches, how many different areas (in square inches) are po

Algebra ->  Rectangles -> SOLUTION: You know that the perimeter of a certain rectangle measures 22in. If its length and width each measure a whole number of inches, how many different areas (in square inches) are po      Log On


   

Question 342588: You know that the perimeter of a certain rectangle measures 22in. If its length and width each measure a whole number of inches, how many different areas (in square inches) are possible for this rectangle?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
For a rectangle,
P=2L%2B2W=22
L%2BW=11
Look at all of the integers that add to 11.
A=1%2A10=10sq.in.
A=2%2A9=18sq.in.
A=3%2A8=24sq.in.
A=4%2A7=28sq.in.
A=5%2A6=30sq.in.
Five unique areas are possible.