a field measuring 12 metre by 16 is to have a Mediterranean pathway al

1.	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» 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+21.5)(12+21.5)=285 (16+3)(12+3)=285 19*15=285 285=285

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»

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

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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​

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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