# The area of a square garden is 200m how long is the diagonal.

**Solution:**

The square garden with area 200m².is shown below:

The __diagonals__ of a square bisect each other at right angles.

Area of Triangle = a² = 200

a = √200 m

In a __right angled triangle__ with sides a, b and c we have

c² = a² + b²

Therefore

d² + d² = a²

2d² = 200

d² = 100

d = 10m

The length of the diagonal of the __square__ is 2d = 2 × 10 = 20 m.

## The area of a square garden is 200m how long is the diagonal

**Summary:**

The area of a square garden is 200m therefore the diagonal is 20m long.

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