Question

Tanya runs diagonally across a rectangular field that has a length of 40 yards and a width of 30 yards. What is the length of the diagonal, in yards, that Tanya runs?

Answer 1

To find the length of the diagonal, we can use the Pythagorean theorem, which states that the square of the length of the diagonal is equal to the sum of the squares of the length and width of the rectangle.

Let d be the length of the diagonal. Then d^2 = 40^2 + 30^2

d^2 = 1600 + 900

d^2 = 2500

Taking the square root of both sides, we get:

d = √2500
d = 50

Therefore, the length of the diagonal that Tanya runs is 50 yards.