Bigger rectangle:
we can see that
length is 3x-2
so,
width is x+6
so,
now, we can find area
Smaller rectangle:
we can see that
length is 2x
so,
width is x-1
so,
now, we can find area
Area of shaded region:
Area of shaded region = area of bigger rectangle - area of smaller rectangle
we can plug values
we are given that area as 103 ft^2
so, we can set it equal
now, we can solve for x
now, we can factor it
Since, length can never be negative
so,
now, we can find dimensions of inner rectangle
Length is
width is
so, dimensions are
..............Answer