To find the length of the diagonal of a rectangular garden, you can use the Pythagorean theorem. In a rectangle, the diagonal creates a right triangle with the two sides of the rectangle.
Let's call the length of the rectangular garden "L" (which is 36 meters) and the width "W" (which is 27 meters).
Now, using the Pythagorean theorem:
Diagonal^2 = Length^2 + Width^2
Diagonal^2 = 36^2 + 27^2
Diagonal^2 = 1296 + 729
Diagonal^2 = 2025
Now, take the square root of both sides to find the diagonal:
Diagonal = √2025
Diagonal = 45 meters
So, the length of the diagonal from one corner to the opposite corner across the garden is 45 meters.
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Answer
Required length of diagonal is 45 m.
Verified answer
Answer:
45 meters
Step-by-step explanation:
To find the length of the diagonal of a rectangular garden, you can use the Pythagorean theorem. In a rectangle, the diagonal creates a right triangle with the two sides of the rectangle.
Let's call the length of the rectangular garden "L" (which is 36 meters) and the width "W" (which is 27 meters).
Now, using the Pythagorean theorem:
Diagonal^2 = Length^2 + Width^2
Diagonal^2 = 36^2 + 27^2
Diagonal^2 = 1296 + 729
Diagonal^2 = 2025
Now, take the square root of both sides to find the diagonal:
Diagonal = √2025
Diagonal = 45 meters
So, the length of the diagonal from one corner to the opposite corner across the garden is 45 meters.