Answer:
The length of the rectangle is 28 inches.
Step-by-step explanation:
We have that the width (W) of a rectangle is half of the length (L) of the rectangle:
[tex] W = \frac{1}{2}L [/tex] (1)
Also, the perimeter is 84 inches:
[tex] P = 2W + 2L = 84 in [/tex] (2)
By entering equation (1) into equation (2) we have:
[tex]2(\frac{1}{2}L) + 2L = 84 in[/tex]
[tex] L = \frac{84}{3} = 28 in [/tex]
Therefore, the length of the rectangle is 28 inches.
I hope it helps you!
