The area of a square garden is 50 m². How long is the diagonal?

Solution:

Given, the area of a square garden is 50 square metres.

We have to find the length of the diagonal.

We know, area of a square = a²

Where, a is the side of the square.

So, a² = 50

Taking square root,

a = √50

The side of the given square garden is √50 m.

We know, diagonal of a square, d² = a² + a²

Now, d² = (√50)² + (√50)²

d² = 50 + 50

d² = 100

Taking square root,

d = √100

d = 10 m

Therefore, the diagonal is 10 m long.

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The area of a square garden is 50 m². How long is the diagonal?

Summary:

The area of a square garden is 50 m². The diagonal is 10 m long.