Directions: What is the greatest perimeter you can make with a rectangle that has an area of 24 square units?

### Hint

### Hint

What are the possible dimensions of a rectangle that has an area of 24 square units? How can we determine their perimeter?

### Answer

### Answer

There are an infinite number of rectangles with an area of 24 square units. Students may think that a 1 x 24 rectangle has the greatest perimeter, but a .5 x 48 rectangle has an even greater perimeter. A .25 x 96 rectangle has an even greater perimeter. So, there is no finite answer.

Source: Robert Kaplinsky

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