If a rectangle has a length of 8 m and a width of 3 m, what is its diagonal length?

To find the diagonal length of a rectangle, you can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (in this case, the diagonal of the rectangle) is equal to the sum of the squares of the lengths of the other two sides (the length and width of the rectangle).

In this scenario, the length of the rectangle is 8 meters and the width is 3 meters. According to the Pythagorean theorem, the diagonal (d) can be calculated using the formula:

[ d = \sqrt{(length^2 + width^2)} ]

Substituting the given dimensions into the formula:

[ d = \sqrt{(8^2 + 3^2)} ] [ d = \sqrt{(64 + 9)} ] [ d = \sqrt{73} ]

Calculating the square root of 73 yields approximately 8.54 meters. This calculation aligns with the given choice of 8.54 m. This choice is correct because it accurately follows the principles of the Pythagorean theorem and uses the correct measurements of the rectangle's dimensions. Thus, the diagonal length of