Question

Jared owns an orchard that has a rectangular fence. The orchard is 36 yards long and 18 yards wide. If he walks across the diagonal length of the orchard, how much distance would he cover?

A) 36 yards
B) 18 yards
C) 30.48 yards
D) 40.49 yards

Answer 1

Jared would cover approximately 40.25 yards when walking across the diagonal length of the orchard.

Step-by-step explanation:

The orchard has a rectangular shape with a length of 36 yards and a width of 18 yards. To find the diagonal length, we can use the Pythagorean theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse (diagonal) is equal to the sum of the squares of the other two sides.

Substituting the values into the formula, we have:

Diagonal^2 = Length^2 + Width^2

Diagonal^2 = 36^2 + 18^2

Diagonal^2 = 1296 + 324

Diagonal^2 = 1620

Diagonal = √1620 ≈ 40.25 yards

Therefore, Jared would cover approximately 40.25 yards when walking across the diagonal length of the orchard.