The area of a square garden is 200m. How long is the diagonal?

Question

mathstudent55 · Answer

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mathstudent55 · Answer

A square is a rectangle with equal length and width.

$A = LW = L \times L = L^2$

$\Large A_{square} = L^2$

mathstudent55 · Answer

$L^2 = 200$

Take the square root of both sides.

mathstudent55 · Answer

That will give you L, the side of the square.
Then you need to find the diagonal.

maleena_1 · Answer

so the square root of 200?

mathstudent55 · Answer

Correct.
The side of the square is $\sqrt{200} $
Now you need the diagonal.
Use the Pythagorean theorem.

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$a^2 + b^2 = c^2$

mathstudent55 · Answer

In this case, both a and b are $\sqrt{200} $.
Plug them in, and solve for c.

maleena_1 · Answer

I got 19.7

mathstudent55 · Answer

You should get a whole number.

$(\sqrt{200})^2 + (\sqrt{200})^2 = c^2$

$200 + 200 = c^2$

$400 = c^2$

$c = 20$

maleena_1 · Answer

ok I see what you did thank you again

mathstudent55 · Answer

You're welcome.