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

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 √(w^2+v^2)`


B.
`4√(w^2+v^2)`
C.2w+2v
D.2w+4v

Answer 1

Answer: A. is the answer to the question

Answer 2

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)