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