the walls of square storage room in a warehouse are 300 feet long. what is the distance from one corner to the other corner of the storage room?

Since it’s a square room, each side has length of 300ft. Simply use the Pythagorean Theorom to find the length from one corner to the opposing corner.

300^2 + 300^2 = c^2

90000 + 90000 = c^2

180000=c^2

Find the square root of 180000

C= 424.264069

The length from opposing corners is roughly 424.26ft

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astha8579 astha8579 · Answer 2 · 2022-01-12T10:43:51+01:00

The distance between one corner of the storage room to the other corner of the storage room is [tex]300\sqrt 2[/tex] feet.

Given that:

Storage room is of square shape.

Length of a side of the room = 300 feet.

To find:

Distance from one corner of the room to the opposite corner.

Calculations:

The distance we need is equal length of a diagonal of a square of side 300 feet long.

The formula for length of diagonal of a square of side a is :

[tex]\text{ Diagonal's length of square of side a} = a \times \sqrt{2}[/tex]

Since here for this case, length = a = 300 feet, thus:

Diagonal of the square [tex]= 300\sqrt 2[/tex] feet.

Thus, the distance between one corner of the storage room to the other corner of the storage room is [tex]300\sqrt 2[/tex] feet.

Learn more about diagonal of square here:

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