Question 950670
W=width; L=length=2W+2; A=area=L*W=24 sq m
A=L*W Substitute for L
24 sq m=(2W+2)(W)
{{{24 sq m=2W^2+2W}}} Subtract 24 sq m from each side
{{{0=2W^2+2W-24 sq m}}}*[invoke quadratic "W", 2, 2, -24 ]
W=3 ANSWER 1: The width is 3 meters.
L=2W+2=2(3m)+2=6m+2m=8m ANSWER 2: Length is 2 meters.
CHECK:
Area=L*W=24 sq m
8m*3m=24 sq m
24 sq m=24 sq m