The missing side of the rectangle is x²+x+3y+1.
Rectangles
The rectangle is a quadrilateral. The classification for quadrilaterals is given by the length of sides and angles. For a rectangle, the opposite sides are equal and parallel and their interior angles are equal to 90°.
A rectangle is a quadrilateral that has 4 sides called: base and height. Due to its characteristics, the rectangle presents two bases (B) and two heights (H).
The perimeter of a geometric figure is the sum of its sides. Thus, for a rectangle, the perimeter can be calculated from equation 2B+2H.
The question gives:
P=16x²-4x+6y+2
B=7x²-3x
Using the definition for the perimeter of rectangle, you have:
P=2B+2H
16x²-4x+6y+2 = 2*(7x²-3x)+2H
16x²-4x+6y+2 = 14x²-6x+2H
16x²-4x+6y+2 -14x²+6x=2H
2x²+2x+6y+2=2H
x²+x+3y+1=H
Read more about the perimeter here:
brainly.com/question/24571594
#SPJ1
