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

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1. anonymous

100 im guessing

2. anonymous

each side is 2 right?

3. anonymous

a little

4. anonymous

yeah it does so all the sides would equal 16^2 right?

5. anonymous

x is 200 right cause each side is 200 or am i wrong?

6. anonymous

x^2 is only the measure of 2 sides?

7. anonymous

yeah i know what your saying so far

8. anonymous

so we only have 2 sides

9. anonymous

its a square. all the sides are the same

10. anonymous

yes

11. anonymous

alright then ill see if the video helps

12. anonymous

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|

13. anonymous

you find the side by using the equation side = $\sqrt{200}$

14. anonymous

15. anonymous

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

16. anonymous

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$

17. anonymous

Hence diagonal of the square is 20 metres.

18. anonymous

thank you @dpasingh this help alot

19. anonymous

200=s^2 s=10√2 *pythagorean d^2=2(10√2)^2 d^2=2(200) d^2=400 d=20

20. Jack1

good explanation

21. Jack1

@dpasingh