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Ksenya-84 [330]
3 years ago
15

A rectangle has a length of x and a width of 5x^3+4-x^2. What is the polynomial that models the perimeter of the rectangle

Mathematics
1 answer:
sveticcg [70]3 years ago
8 0

Answer:

L= x

And the width for this case is:

W= 5x^3 +4 -x^2

And we know that the perimeter is given by:

P= 2L +2W

And replacing we got:

P(x) = 2x +2(5x^3 +4 -x^2)= 2x +10x^3 +8 -2x^2

And symplifying we got:

P(x)= 10x^3 -2x^2 +2x+8

Step-by-step explanation:

For this problem we know that the lenght of the rectangle is given by:

L= x

And the width for this case is:

W= 5x^3 +4 -x^2

And we know that the perimeter is given by:

P= 2L +2W

And replacing we got:

P(x) = 2x +2(5x^3 +4 -x^2)= 2x +10x^3 +8 -2x^2

And symplifying we got:

P(x)= 10x^3 -2x^2 +2x+8

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