Turner measured the floor of his storage unit, which is rectangular. It is 48 feet wide and 52 feet from one corner to the opposite corner. How long is the storage unit?

Question

Mathematics

Adonis

13 July, 23:16

Turner measured the floor of his storage unit, which is rectangular. It is 48 feet wide and 52 feet from one corner to the opposite corner. How long is the storage unit?

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Answers (1)

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Latte · Answer 1

The storage unit is 20 feet long.

Step-by-step explanation:

1. Let's use the Pythagorean Theorem to find the unknown side or length of the storage unit:

With the information given, we have a right triangle with 52 feet of hypotenuse and 48 feet as one of its sides and width of the storage unit.

Length of the storage unit ² = Hypotenuse ² - Width of the storage unit ²

Replacing with the real values:

Length of the storage unit ² = 52² - 48²

Length of the storage unit ² = 2,704 - 2,304

Length of the storage unit ² = 400

√Length of the storage unit ² = √400

Length of the storage unit = 20 feet