A garden measuring 12m by 16m is to have a pedestrian pathway installed all around it. The pathway and the garden have a total area of 285m^2. What will be the width of the pathway? (Please explain as you go)

3 answers

Let the width of sidewalk be x
..
Length of garden = 16 m
Width =12m
285-96=189 m^2
Area =96m^2
Area of sidewalk =189 m^2
Length of ground + sidewalk =16
width of ground + sidewalk = 12+2x

( 16+2x )(12+2x )-189=96

192+32x +24x+4X^2-189 = 96
Also the pathway is the same width all the way around the garden.
I don't get it well