The opening in a rectangular door frame measures 9 feet by 3 feet. Each of the four doors described in the table measures 9 feet by 3 feet, but have different diagonal lengths. Which door will fit in the rectangular opening?

Door 1: 10 ft

Door 2: 3 square root 10ft

Door 3: 6 square root 2ft

Door 4: 12ft

Answer: Door 2 will fit through the rectangular door.

To do this problem, we need to use the Pythagorean Theorem. The door is a rectangle and if we draw a line from corner to corner, we have right triangles.

To find the diagonal distance, we have to write and solve the equation below.

3^2 + 9^2 = c^2

9 + 81 = c^2

90 = c^2

c = the square root of 90

The square root of 90 can be simplified to 3 square roots of 10.