A garden is measuring 12m by 16m is to have a path around it, increasing the total area to 285 square metre. what is the width of the path?

I went like that
(16+2x).(12+2x)= 285
4x^2+56x-93=0

I am stuck now

1 answer

You're right.

By the way, the solutions of your your quadratic equations are:

x = - 31 / 2 and x = 3 / 2

Length can not be negative so x = 3 / 2 = 1.5 m