Open Middle®
Directions: Using the digits 1 to 9, at most one time each, place a digit in each box to create a rectangle with an area as close to 500 and a perimeter as close to 100 as possible.
Hint
The perimeter is the distance around the outside; and the area is the space inside.
How does changing just one dimension affect the area/perimeter?
What patterns do you notice?
Could you ever have a perimeter of 101 or 99?
How does changing just one dimension affect the area/perimeter?
What patterns do you notice?
Could you ever have a perimeter of 101 or 99?
Answer
36 by 14.
Perimeter = 100 units
Area = 504 square units
Perimeter = 100 units
Area = 504 square units
Source: Owen Kaplinsky
Perimeter 100 units
Area 504 square units
There should be a rectangle inside the box