Question

a garden 7m by 12m will be expanded by planting a border of flowers,the border will be of the same width around the entire garden and has an area of 92m
I assume you want the width of the border.

new length = 12+2x
new width = 7+2x

What has an area of 92 m^2 (you had 92 m) ?

if the whole area is 92 m^2
new area = (12+2x)(7+2x) = 92
84 + 38x + 4x^2 = 92
4x^2 + 38x - 8 = 0
2x^2 + 19x - 4 = 0
x = (-19 ± √393)/4
= .206 or a negative

the area of the border is 92 m^2

(12+2x)(7+2x) - (7)(12) = 92
84 + 38x + 4x^2 - 176 = 0
4x^2 + 38x - 92 = 0
(x-2)(4x+46) = 0
x = 2 or x is a negative

Hahahahahajaja

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