A rectangular park that measures 40 yards by 80 yards will have a diagonal path built. How long will the path be? Round your answer to the nearest tenth. how many yards?
To find the length of the diagonal, we can use the Pythagorean theorem.
The length of one side of the rectangle is 40 yards and the length of the other side is 80 yards.
Using the Pythagorean theorem, we have:
diagonal^2 = 40^2 + 80^2
diagonal^2 = 1600 + 6400
diagonal^2 = 8000
diagonal ≈√8000
diagonal ≈ 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-angled triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.
In this case, the two sides of the rectangle are the width (40 yards) and the length (80 yards), so the diagonal forms the hypotenuse.
So, using the Pythagorean theorem, we have:
(40)^2 + (80)^2 = d^2
1600 + 6400 = d^2
8000 = d^2
Taking the square root of both sides to solve for d, we get:
d = √8000
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 in the rectangular park, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.
In this case, the two sides of the rectangle are the width (40 yards) and the length (80 yards). So, let's consider the diagonal path as the hypotenuse.
We can apply the Pythagorean theorem as follows:
diagonal^2 = width^2 + length^2
diagonal^2 = 40^2 + 80^2
diagonal^2 = 1600 + 6400
diagonal^2 = 8000
To find the value of the diagonal, we take the square root of both sides of the equation:
diagonal = √8000
Using a calculator, we find that √8000 is approximately 89.44 yards.
Rounding to the nearest tenth, the length of the diagonal path will be approximately 89.4 yards.