Question

A rectangle has a height of

3
x
3x3, x and a width of
2
x
−
3
2x−32, x, minus, 3.

Answer 1

`\boxed{P=2x^3+8x-64}`

Step-by-step explanation:

We know some facts here:

`W= x-32 \\ \\ H=3x+x^3 \\ \\ \\ Where: \\ \\ W:Width \\ \\ H:Height`

The perimeter of a rectangle is the total distance around it and the formula is given by:

`P=2W+2H \\ \\ P=2(W+H) \\ \\ \\ Substituting \ values: \\ \\ P=2(x-32+3x+x^3) \\ \\ P=2x-2(32)+2(3x)+2(x^3) \\ \\ P=2x-64+6x+2x^3 \\ \\ \\ \text{Combining like terms:} \\ \\ P=2x^3+(2x+6x)-64 \\ \\ \boxed{P=2x^3+8x-64}`