Question

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

Answer 1

A square is a rectangle with equal length and width.

\(A = LW = L \times L = L^2\)

\(\Large A_{square} = L^2\)

Answer 2

\(L^2 = 200\)

Take the square root of both sides.

Answer 3

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

Answer 4

so the square root of 200?

Answer 5

Correct.
The side of the square is \(\sqrt{200} \)
Now you need the diagonal.
Use the Pythagorean theorem.



\(a^2 + b^2 = c^2\)

Answer 6

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

Answer 7

I got 19.7

Answer 8

You should get a whole number.

\((\sqrt{200})^2 + (\sqrt{200})^2 = c^2\)

\(200 + 200 = c^2\)

\(400 = c^2\)

\(c = 20\)

Answer 9

ok I see what you did thank you again

Answer 10

You're welcome.