A rectangle is 6m. wide and 11m long. How long is the diagonal of the rectangle?

about 12.2 if you round to the nearest tenth.

I get 12.5

Ms. Sue is correct. I get 12.5 too.

To find the length of the diagonal of a rectangle, we can apply the Pythagorean theorem, which states that in a right triangle, the square 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 width and length of the rectangle form the sides of a right triangle, with the diagonal being the hypotenuse. So, we can use the Pythagorean theorem to solve for the length of the diagonal:

diagonal^2 = width^2 + length^2

Given that the width is 6m and the length is 11m, we can substitute these values into the equation:

diagonal^2 = 6m^2 + 11m^2

Simplifying the equation:

diagonal^2 = 36m^2 + 121m^2
diagonal^2 = 157m^2

To find the length of the diagonal, we need to take the square root of both sides of the equation:

diagonal = √(157m^2)

Using a calculator, we can evaluate the square root:

diagonal ≈ 12.53m

Therefore, the length of the diagonal of the rectangle is approximately 12.53m.