Question

A rectangle has a length of x and a width of 6x3 + 1 − x2. Find the perimeter of the rectangle when the length is 8 feet.

The polynomial that models the perimeter of the rectangle is ?????

The perimeter is
feet ???

Answer 1

6035ft

Explanation:

Given data

Length=x

WIdth= 6x^3 + 1 − x^2

The expression for the perimeter is given as

P= 2L+2W

substitute

P=2(x)+2(6x^3 + 1 − x^2)

open brackets

P=2x+12x^3+3-2x^2

rearrange, the polynomial that models the perimeter of the rectangle is

=12x^3-2x^2+2x+3

Also, the perimeter when length x= 8 is

P=12x^3-2x^2+2x+3

P=12(8)^3-2(8)^2+2(8)+3

P=12*512-2*64+16+3

P=6144-128+19

P=6016+19

P=6035 feet

Hence the perimeter of the rectangle is 6035ft