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. Source: Owen Kaplinsky

Directions: Using the digits 1-6, at most one time each, fill in the boxes to create the largest and smallest combined perimeter/circumference for the rectangle and circle. Source: Christin Smith

Directions: What could the lengths of the legs be such that the lengths of the legs are integers and x is an irrational number between 5 and 7? Source: Daniel Luevanos

Directions: Draw three rectangles with a perimeter of 20 units. Source: Dan Meyer

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

Directions: How can you tell which square is bigger: a square with a perimeter of 25 units or a square with an area of 25 square units? Source: Robert Kaplinsky

Directions: How can you tell which rectangle is bigger: a rectangle with a perimeter of 24 units or a rectangle with an area of 24 square units? Source: Robert Kaplinsky

Directions: Using the digits 1 – 9, at most once each, fill in the blanks to make it so that the value for the area of the rectangle (in square units) is greater that the value for the perimeter (in linear units). What is the greatest difference you can find between the area and perimeter? What is the least difference …

Directions: The perimeter of a triangle is 20 units. Using whole numbers, how many sets of side lengths can you find for this triangle? Source: Christina Ploeckelman

Directions: Using the digits 1 to 8 at most one time each, fill in the coordinates to create the vertices of a rectangle: A(__, __), B(__, __), C(__, __), D(__, __). Extension: What is the rectangle with the largest/smallest area/perimeter that you can find? Source: Erick Lee