The perimeter of the shape below is 21x2−5x + 421x2−5x + 4. Find the length of the missing side. (1 point) Responses 14x2−12x+814x2−12x+814 x squared minus 12 x plus 8 4x2+54x2+54 x squared plus 5 4x2−84x2−84 x squared minus 8 −14x2+12x−8

1 answer

To find the length of the missing side of the shape based on the given perimeter \(21x^2 - 5x + 4\), we need to understand that the perimeter is the sum of all sides. If we know the lengths of the other sides, we can find the missing side by rearranging the equation.

Assume there are four sides of the shape, and let's denote the lengths of three known sides as \(a\), \(b\), and \(c\). The equation for the perimeter then becomes:

\[ \text{Perimeter} = a + b + c + d \]

Where \(d\) is the length of the missing side. We can rearrange this to find \(d\):

\[ d = \text{Perimeter} - (a + b + c) \]

However, we would need the values of \(a\), \(b\), and \(c\) to calculate \(d\).

If you have the specific lengths of the known sides, please provide them so I can calculate the missing side for you. Otherwise, if this is a multiple-choice question without specific lengths given for \(a\), \(b\), and \(c\), we would not be able to determine the correct answer without that additional information.

Could you provide the lengths of the other three sides or any additional context for the choices presented?