Final answer:
To find the length of the diagonal of a rectangular floor, you can use the Pythagorean theorem. The length of the diagonal is approximately 78.07 feet.
Step-by-step explanation:
To find the length of the diagonal of a rectangular floor, we can use the Pythagorean theorem. The theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. In this case, the length and width of the floor are the two sides, and the diagonal is the hypotenuse.
So, using the formula a^2 + b^2 = c^2, where a and b are the length and width of the floor, and c is the diagonal, we can substitute the given values to find the length of the diagonal:
30^2 + 72^2 = c^2
900 + 5184 = c^2
6084 = c^2
c = √6084
c ≈ 78.07 feet