Question

Jill’s front door is 42” wide and 84” tall. She purchased a circular table that is 96 inches in diameter. Will the table fit through the front door? Explain using approximations.

Answer 1

Find the diagonal length of the door.

If diagonal is greater than or equal to 96 inch, the table will fit through the door else it will not fit.

$diagonal = \sqrt{ {42}^{2} + {84}^{2} } \\ = 93.9148$

Table will not fit through the door.

Answer 2

Before, finding the answer. Let's find out how we can find the answer.

• In this question, we have to find the diagonal of the door by using the Pythagoras theorem formula.
• If the diagonal is shorter than the door, then the table will not fit through the front door.

___________________

Given :

• Length of door = 42 inches
• Breadth of door = 84 inches
• Diameter of Circular table = 96 inches

To find :

• whether the table will fit through the front door

Solution :

⇒ Let's find the Diagonal of the Door.

Diagonal = √a² + b²

               = √42² + 84²

               = √1764 + 7056

               = √8820

               = 93.91

Therefore, the Diagonal of the door is 93.9 inches.

⇒ Since the diagonal is shorter than the diameter of the circular table, It will not fit the front door.