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Refer to the attached image.
Let the width of the border be 'x' inch.
Area of border = Area of rectangle ABCD - Area of rectangle PQRS
Area of rectangle ABCD =
=
= square units.
Area of rectangle PQRS =
=
= 117 square units.
So, area of border =
As it is given that the area of border is 48 square units.
So,
So, the complete equation is .
Now, we will find 'x' in the equation ,
(x-1) (x+12)=0
So, x = 1 or x = -12
Width can'not be negative.
So, x = 1 .
Therefore, the width of the border can'not be 2.5 inch.
Therefore, the width of the border is 1 inch.
