A door is 6 feet and 6 inches tall and 36 inches wide. What is the widest piece of sheetrock that can fit through the door? Round to the nearest inch.

Question

Can you please help me with this question. This are the answer choices.

a. 114 in b. 86 in c. 85 in d. 69 in

Answer 1

The trick to these types of questions is converting everything to the correct units.

Since the answer choices are all in inches, we should convert the door's dimensions into inches.

The width is already given as 36 inches, but the height of the door is given in feet and inches!

To convert feet to inches, remember that 1 foot is equal to 12 inches.

Therefore, 6 feet is equal to 6x12=72 inches!

Since the door is 6 feet and 6 inches tall, we can say it is 72 + 6 inches tall. since we already calculated the number of inches the feet are equal to.

Therefore it is 78 inches tall. The largest width piece of sheetrock that can fit through this door is then choice D, 69 inches. All other options exceed the height and width of the door.