Question

The area of a square garden is 128 m². How long is the diagonal?

Answer 1

265 I think is the right answer

Answer 2

If we know the area, we can first find the side length of this garden. The area of a square is the side length squared. So, we can write:

x^2 = 128

Square root both sides, and you get

x = sqrt (128)

The diagonal of the square is the side length times sqrt (2) because the diagonal plus two side lengths make a 45-45-90 triangle. So:

sqrt (128) * sqrt (2) = sqrt (256) = 16.

The length of the diagonal is 16 meters.