Respuesta :

wegnerkolmp2741o

Answer:

20 m

Step-by-step explanation:

First find the side length

A = s^2 for a square garden

200 = s^2

Take the square root of each side

sqrt(200) = sqrt(s^2)

sqrt(2) sqrt(100) = s

10 sqrt(2) = s

Now we can use the Pythagorean theorem to find the diagonal

a^2 + b^2 = c^2  where  a and b are the side lengths a c is the hypotenuse

s^2 + s^2 = c^2

200 + 200 =c^2

400 = c^2

Take the square root of each side

sqrt(400) = sqrt(c^2)

20 = c

r3t40

First find the lenght of a side:

[tex]a=\sqrt{200}\implies a\approx 14.14[/tex]

Then multiply the approximated side by [tex]\sqrt{2}[/tex] and obtain the lenght of diagonal:

[tex]d\approx14.14\sqrt{2}=\boxed{20\mathrm{m}}[/tex]

Hope this helps.

Otras preguntas