Question 1204609
A rectangular garden measures 12m by 5m, a path of uniform width runs along one side and one end.
If the total area of the garden and path is 98 m². Find the width of the path

Let uniform width of path be x

Add x to length and breadth 

the dimensions will be (12+x) and (5+x)

Area of plot = 98 m^2

(x+12)(x+5) =98

x^2+17x+60=98

x^2+17x-38 =0

(x+19)(x-2)=0

x= -19  or x=2


Ignore negative

width = 2 m

 *[illustration garden.png].