Step-by-step explanation:
Given Ms. Reynolds is putting an 18 meter fence around her garden and length of garden is 6 meter and width is w.
The perimeter of a garden =[tex]2( length + width)[/tex]
= [tex]2(6+w)[/tex] meter
According to problem
[tex]2(6+w)[/tex] = 18
⇔6 +w = [tex]\frac{18}{2}[/tex]
⇔6+w = 9
⇔ w = 9-6
⇔w = 3 meter
Therefore the width of the garden = 3 meter.