MATHH QUESTION!

Question

A rectangle has a length of 14 yards less than 2 times its width. If the area of the rectangle is 660 square yards, find the length of the rectangle.

Answer 1

L=2W -14

LW =660

(2W-14)W = 660

2W^2 -14W -660 = 0

W^2 -7W -330 =0

(W-22)(W+15) = 0

W=22 yards wide

L= 44-14 = 30 yards long

22x30 = 660 yd^2

ignore the W=-15 yd solution, unless you're in a twilight zone universe with negative length & widths

then L=-30-14 =-44 yards long so, length = 30 yards in our mundane familiar universe, and maybe -44 yards in one of those quantum physics alternative universes inspiring the Twilight Zone TV shows and physicist Hugh Everett.

-44(-15) = 660 square yards