To find the length of the missing side given the perimeter of a shape, we first need to clarify a few details. Since you mentioned a perimeter expression \( 21x^2 - 5x + 4 \) without providing any diagram, I will assume that we are dealing with a rectangular or polygonal shape where some of the side lengths are known.
Let's assume that the shape has a total of \( n \) sides and that the perimeter is given by the sum of the lengths of all the sides. To find the missing side, we will need to know the lengths of the other sides.
Let’s assume there are \( m \) sides of known lengths:
- Let’s denote the known side lengths as \( l_1, l_2, \ldots, l_m \).
The perimeter can then be expressed as: \[ P = l_1 + l_2 + \ldots + l_m + \text{missing side} \] Given \[ P = 21x^2 - 5x + 4 \] We can then express the missing side as: \[ \text{missing side} = P - (l_1 + l_2 + \ldots + l_m) \] If you have specific known side lengths, please provide them, and we can substitute those values into the equation to calculate the missing side. Otherwise, without those specifics, we can’t proceed with the calculation.
If you can provide more details, we can solve it!
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