The dimensions of a rectangular piece of paper are 8.5 inches and 11 inches.Veronica folded the piece of paper along its diagonal.Which measurement is closest to the length of the diagonal in iches
To find the length of the diagonal of a rectangle, you can use the Pythagorean theorem, which states that the square of the hypotenuse (the diagonal) of a right triangle is equal to the sum of the squares of the other two sides.
In this case, the two sides of the rectangle are 8.5 inches and 11 inches. Let's call the diagonal length D. According to the Pythagorean theorem:
D^2 = 8.5^2 + 11^2
Solve this equation to find the length of the diagonal:
D^2 = 72.25 + 121
D^2 = 193.25
D ≈ √193.25
D ≈ 13.89 inches
Therefore, the length of the diagonal of the rectangular piece of paper is approximately 13.89 inches.