Question

The rectangle ABCD is centered at the origin. C has the coordinates (w, –v). Determine the length of a diagonal of ABCD.
A.$2 \sqrt{w^2+v^2}$
B.$4\sqrt{w^2+v^2}$
C.2w+2v
D.2w+4v

Answer 1

Sides of the rectangle ABCD are: 2 w and 2 v.
The length of a diagonal: $\sqrt{(2w)^{2}+(2v)^{2} } = \sqrt{4w^{2} +4v ^{2} } = \\ \sqrt{4(w^{2} +v^{2} )}=2 \sqrt{w^{2} +v^{2} }$
Answer: A)

Answer 2

Answer: A.  is the answer to the question