A rectangular park that measures 40 yards by 80 yards will have a diagonal path built. How long will the diagonal path be? Round your answer to the nearest tenth
To find the length of the diagonal path, we can use the Pythagorean theorem.
The formula is:
c^2 = a^2 + b^2
Where c is the length of the diagonal, and a and b are the lengths of the sides of the rectangle.
In this case, a = 40 yards and b = 80 yards.
So, c^2 = (40^2) + (80^2) = 1600 + 6400 = 8000
Taking the square root of both sides, we find:
c ≈ √8000 ≈ 89.4
Therefore, the length of the diagonal path will be approximately 89.4 yards.
To find the length of the diagonal path, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (diagonal) is equal to the sum of the squares of the other two sides.
In this case, the two sides of the rectangle are the length (80 yards) and the width (40 yards). Let's call the length of the diagonal path "d".
Using the Pythagorean theorem, we have:
d^2 = 80^2 + 40^2
Simplifying the equation, we get:
d^2 = 6400 + 1600
d^2 = 8000
To find the length of the diagonal path, we can take the square root of both sides:
d = √8000
Calculating the square root, we get:
d ≈ 89.4
Therefore, the length of the diagonal path will be approximately 89.4 yards when rounded to the nearest tenth.
To find the length of the diagonal path, we can use the Pythagorean theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse (diagonal path) is equal to the sum of the squares of the other two sides.
In this case, the length and width of the rectangular park form two sides of a right-angled triangle, and the diagonal path is the hypotenuse.
Let's plug in the values:
Length of the park = 40 yards
Width of the park = 80 yards
Using the Pythagorean theorem, we can calculate the length of the diagonal path (h):
h^2 = (40^2) + (80^2)
Simplifying further:
h^2 = 1600 + 6400
h^2 = 8000
To find h, we take the square root of both sides:
h = √8000
h ≈ 89.4
Rounding to the nearest tenth, the length of the diagonal path will be approximately 89.4 yards.