Answer:
L=6
w=3
Step-by-step explanation:
To calculate an area of a rectangle, use the formula A=L*w. We know the width is half as long as the length. So w = 1/2 L.
So the area is [tex]A= L(\frac{1}{2}L)) = \frac{1}{2}L^2[/tex]
If the area is 18 then substitute A =18.
[tex]A= \frac{1}{2}L^2\\ 18=\frac{1}{2}L^2\\ 36=L^2\\6,-6 = L[/tex]
Since length cannot be negative, then L=6.
The width is 1/2 L so w = 1/2 (6) = 3.