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Find the length of a diagonal of a square enclosure with a perimeter of 16 feet. Round your answer to the nearest tenth


Sagot :

Answer:

Step-by-step explanation:

A square enclosure would have all sides of equal length.  Thus, a perimeter of 16 feet would have 4 sides (16/4) or 4 feet in length.  The diagonal would form a right triangle with two sides of 4 feet each.  

The diagonal, the hypotenuse, is determined by:

4^2 + 4^2 = x^2

32 = x^2

x = 5.6569 feet