Question

The area of a square garden is 200 m^2. How long is the diagonal?

a. 100 m

b. 20 m

c. 1076 m

d. 400 m

Answer 1

Answer:

b. 20 m

Step-by-step explanation:

Let A represent the area

Let d represent the diagonal

then

$A=\frac{d*d}{2} = \frac{d^{2} }{2}$

Then

d² = 2A

then

$d = \sqrt{2A} =\sqrt{2*200} =\sqrt{400} = 20$