The area of a square garden is 200 m². How long is the diagonal? Help please :/ ?

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The area of a square garden is 200 m². How long is the diagonal? Help please :/ ?

Geometry
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100 im guessing
each side is 2 right?
a little

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Other answers:

yeah it does so all the sides would equal 16^2 right?
x is 200 right cause each side is 200 or am i wrong?
x^2 is only the measure of 2 sides?
yeah i know what your saying so far
so we only have 2 sides
its a square. all the sides are the same
yes
alright then ill see if the video helps
to find the length of the diagonal of a square, multiply the length of one side by the square root of 2. |dw:1433488980540:dw|
you find the side by using the equation side = \[\sqrt{200}\]
the answer is 20
the does explain hot to get that tho i curious on how you come to that not really looking for just an answer but explanation @ely.gee
Area of the square = side^2 i.e. 200 = side^2 side = \[\sqrt{200}\] \[=10\sqrt{2}\] m diagonal of a square \[=\sqrt{2} side \]\[=10\sqrt{2}\times \sqrt{2}=20 m\]
Hence diagonal of the square is 20 metres.
thank you @dpasingh this help alot
200=s^2 s=10√2 *pythagorean d^2=2(10√2)^2 d^2=2(200) d^2=400 d=20
good explanation

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