Answer:
8√2 feet
Explanation:
You want the length of the diagonal of a square that is 8 ft on a side.
Diagonal
The diagonal of a square is the hypotenuse of the isosceles right triangle with leg lengths equal to the sides of the square. The ratios of side lengths in such a triangle is ...
1 : 1 : √2
Then the lengths of the sides of that triangle are ...
8 ft : 8 ft : 8√2 ft . . . . . multiply ratio values by 8 ft
The diagonal length is 8√2 feet.
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Additional comment
If you use the Pythagorean theorem to find the diagonal length, you will determine it is ...
d = √(8² +8²) = 8√(1+1) = 8√2 . . . . feet
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