Open Middle®
Directions: Find the largest area for the rectangle filling the boxes with numbers 1 through 9. You may use a digit at most once.
Hint
Which numbers would yield the largest area?
How can you find the area of a rectangle?
Where should you put the largest number? Why?
What will the rectangle with the largest area look like? (i.e. tall and skinny,…)
Answer
The area of the largest rectangle is 783 square units with the following dimensions: 9 x 87
Source: Nanette Johnson, Inspired by Mike Chamberlain’s Problem
