If a rectangler has an area of 34 and the width is half the length what are the length and the width

A=LW,

W=L/2, L=2W so:

A = (2W) W

A=2W^2 and A=34 so:

2W^2=34

W^2=17

W=√17, and since L=2W

L=2√17

So the length is 2√17 and the width is √17

(length≈8.25 and width≈4.12 if you wanted approximations ...)