Question

Area of the rectangle is given by the polynomial function A(x)=2x^2+18x. If the width of the rectangle is 2x what is the length?

Answer 1

Answer:

x + 9

Step-by-step explanation:

Area = 2x^2 + 18x

Width = 2x

Length = ?

The relationship between these quantities is;

Area = Length * Width

Length = Area / Width

Length = (2x^2 + 18x) / 2x

Using long division;

$2x\sqrt{2x^{2} + 18x}$

This leads to;

length = x + 9

Checking;

Area = Length * Width

Area = (x + 9) * 2x

Area = 2x^2 + 18x ; This is correct!