Answer:
[tex]2x^2+8x-30[/tex] represents the total perimeter of the table, and if x = 3 the lentgh of entire rubber bumper is 12 feet.
Step-by-step explanation:
Perimeter is defined as the sum of sides.
For a rectangle having dimension length 'L' and breadth 'B' Since, rectangle has two sides equal.
Perimeter of rectangle = 2 ( length + breadth )
Here, given rectangle has dimension
Length = [tex]2x^2-16[/tex] and breadth = [tex]-x^2+4x+1[/tex]
Thus, perimeter of rectangle = [tex]2(2x^2-16+(-x^2+4x+1))[/tex]
[tex]=2(2x^2-16-x^2+4x+1)[/tex]
[tex]=2(x^2+4x-15)[/tex]
[tex]=2x^2+8x-30[/tex]
Thus, perimeter of rectangle is [tex]2x^2+8x-30[/tex] ........(1)
Perimeter of rectangle , when x = 3,
Put x= 3 in (1) ,
[tex]2x^2+8x-30\Rightarrow 2(3)^2+8(3)-30 \Rightarrow 18+24-30=12[/tex]
Thus, [tex]2x^2+8x-30[/tex] represents the total perimeter of the table, and if x = 3 the lentgh of entire rubber bumper is 12 feet.
Answer:
The Answer is D 2x2 + 8x – 30; 12 feet
Step-by-step explanation:
