Step-by-step explanation:

To find the other side of the rectangle, we can begin by simplifying the given expression for the perimeter.

Given:

Perimeter = 16x^3 - 6x^2 + 12x + 4

One side = 8x^2 + 3x

The perimeter of a rectangle is the sum of all its sides. In this case, we have one side as (8x^2 + 3x), and we need to find the other side.

Let's assume the other side of the rectangle is 'y'.

The perimeter formula for a rectangle is:

Perimeter = 2 * (Length + Width)

Since we have one side as (8x^2 + 3x) and the other side as 'y', we can write the equation as:

16x^3 - 6x^2 + 12x + 4 = 2 * ((8x^2 + 3x) + y)

Simplifying the equation:

16x^3 - 6x^2 + 12x + 4 = 16x^2 + 6x + 2y

Now, let's isolate 'y' by moving all the terms to one side:

16x^3 - 6x^2 + 12x + 4 - 16x^2 - 6x = 2y

Combining like terms:

16x^3 - 22x^2 + 6x + 4 = 2y

Finally, we divide both sides by 2 to solve for 'y':

y = (16x^3 - 22x^2 + 6x + 4) / 2

Therefore, the other side of the rectangle is given by:

y = 8x^3 - 11x^2 + 3x + 2

Answer:

Perimeter of rectangle=16x³ -6x²+12x+4

2(l+b)=16x³ −6x² +12x+4

l+b=8x³−3x²+6x+2

b=(8x³−3x² +6x+2)−(8x²+3x)

=8x³−3x²+6x+2−8x²−3x

=8x²−11x²+3x+2

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