Question

a field measuring 12 metre by 16 is to have a Mediterranean pathway all around it which increases the total area 285 square metre calculate the width of the path​

Answer 1

Step-by-step explanation:

(16+2x)(12+2x)=285

192+24x+32x+4x^2=285

4x^2+56x+192-285=0

4x^2+56x-93=0

(2x-3)(2x+31)=0

2x=3

x=3/1

x=1.5 ans. for the width of the pathway.

Proof:

(16+2*1.5)(12+2*1.5)=285

(16+3)(12+3)=285

19*15=285

285=285