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.

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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.