Can a painting that measures 9 feet tall by 9 feet wide fit through a cargo plane door that is 6 1/2 feet tall and 8 1/2 feet wide?

To determine whether the painting can fit through the cargo plane door, you need to compare the dimensions of the painting to the dimensions of the door. The painting has a height of 9 feet and a width of 9 feet, while the door measures 6.5 feet in height and 8.5 feet in width.

The critical approach is to check the diagonal measurement of the painting against the diagonal of the door. To do this, you can use the Pythagorean theorem, which is helpful for determining the diagonal length of a rectangle given its height and width.

For the painting:

• Height = 9 feet

• Width = 9 feet

• Diagonal = √(height² + width²) = √(9² + 9²) = √(81 + 81) = √162 = approximately 12.73 feet

For the door:

• Height = 6.5 feet

• Width = 8.5 feet

• Diagonal = √(height² + width²) = √(6.5² + 8.5²) = √(42.25 + 72.25) = √114.5 = approximately 10.70 feet

Now,