Area of rectangle it's the width multiply by the lenth.
A=W*L
A=38 1/4 m²
W=4 1/2 m²
So: 38 1/4 = 4 1/2 * L
Dividing both sides by 4 1/2: : 4 1/2 :4 1/2
[tex]38\frac14\ :\ 4\frac12\ =\ L\\\\L=\frac{153}4\ :\ \frac{9}2\\\\L=\frac{153}4\ \cdot\ \frac2{9}\\\\L=\frac{17}{2}\cdot\ \frac1{1}\\\\L=8\frac12[/tex]
Answer: The length of the garden is 8 1/2 meters