. A garden measuring 12 m by 16 m is to have a pedestrian pathway that is ???????? meters wide installed all the way
around it, increasing the total area to 285 m2. What is the width, ????????, of the pathway?

Let the length of the pathway across all its side be x. This means we are adding a length of 2x to both the length and breadth to 12+2x and 16+2x respectively.

The new area thus becomes:

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

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

4x^2 + 56x + 192 = 285

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

4x^2 + 56x -93 = 0

4x^2 + 62x - 6x - 93 = 0

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

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

This means x = 3/2 or -31/2

Since length cannot be negative , we choose the first and neglect the second meaning our answer is 3/2 which is 1.5 meters

. A garden measuring 12 m by 16 m is to have a pedestrian pathway that is ???????? meters wide installed all the way around it, increasing the total area to 285 m2. What is the width, ????????, of the pathway?

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. A garden measuring 12 m by 16 m is to have a pedestrian pathway that is ???????? meters wide installed all the way
around it, increasing the total area to 285 m2. What is the width, ????????, of the pathway?