The length of a garden is 24 meters, and the width is 7 meters. Find the diagonal distance across

the garden

Use the pythagorean theorem.

25 meters

To find the diagonal distance across the garden, 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.

In this case, the length and width of the garden form the two sides of the right-angled triangle, and the diagonal is the hypotenuse.

Let's label the length as side A, the width as side B, and the diagonal distance across as side C.

Given:
Length (A) = 24 meters
Width (B) = 7 meters

Using the Pythagorean theorem, the equation becomes:
A^2 + B^2 = C^2

Substituting the given values, we have:
24^2 + 7^2 = C^2
576 + 49 = C^2
625 = C^2

To find the value of C (the diagonal distance), we take the square root of both sides:
√625 = √C^2
25 = C

Therefore, the diagonal distance across the garden is 25 meters.