The diagonal of the top or bottom faces of the box is the hypotenuse of a triangle with legs 12 cm and 5 cm. The Pythagorean theorem tells you that diagonal length is ...
d = √(12² +5²) = √(144 +25) = √169 = 13 . . . cm
The width of the divider is 13 cm.
The height of the divider is shown as 12 cm.
The dimensions of the dividing rectangle are 13 cm by 12 cm.
This is because there are 56 people and seven out of them are on the honor roll and have perfect attendance. You have a seven out of fifty-six chance of choosing them.
