Directions: Using the digits 1-9 at most once each, 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?

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