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?

Answer 1

This problem involves trying to find the diagonal of the rectangle given. This is equal to the hypotenuse of a triangle with one length side and one width side as its legs. The formula for finding this hypotenuse is c = √(a^2 + b^2). So plug in 84 and 42 and we get approximately 93.9, which is just over 2 inches short of getting the table through the door.

Answer 2

No, the table will not for through the door

Explanation:

A door is known to be rectangular in nature. If Jill’s front door is 42inches wide and 84inches tall and we are to determine if the circular door will fit into the door, this means that the circumference of the circular table must be lass than the width of the door.

Circumference of a circle = πd

Given diameter d = 96inches

Circumference = π(96)

Circumference of the table = 301.59inches

Jill's door width = 42inches

Since the circumference of the circular table is greater than the width of the rectangular door, this shows that the table will not fit through the door.

For the table to fit in the circumference must be lesser than the width of the door