a rectangular feild is 16metre long and 10 metre wide. there is a uniform width all around it having an area of 120metre square

2 metre

Step-by-step explanation:

let the width around the field be x metre

then (16+2x) (10+2x) - 16*10=120

160+32x+20x+4x²-160=120

4x²+52x-120=0

or x²+13x-30=0

x²+15x-2x-30=0

x (x+15) - 2 (x+15) = 0

(x+15) (x-2) = 0

either x+15=0,

x=-15 (Rejected being negative)

or x-2=0

x=2 metre