The missing side of the quadrilateral is expressed as: x² + 2x + 2.
What is the Perimeter of a Quadrilateral?
The perimeter of a quadrilateral = sum of all its four sides.
The quadrilateral given in the diagram above have two opposite sides that are equal to each other. We are given that:
Perimeter of the quadrilateral = 2x² + 8x + 5
Length of one of its sides = 2x + 0.5
Therefore, the expression for the other side would be:
Missing side = 1/2[(2x² + 8x + 5 - 2(2x + 0.5)]
Missing side = 1/2(2x² + 8x + 5 - 4x - 1)
Missing side = 1/2(2x² + 4x + 4)
Missing side = 1/2(2x²) + 1/2(4x) + 1/2(4)
Missing side = x² + 2x + 2
Thus, the missing side of the quadrilateral is expressed as: x² + 2x + 2.
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