Question

If the length of a rectangle in terms of x is 5x+4x-2,and its width is 3xsquared +2x+8,what is the perimeter of this rectangle?

Answer 1

Answer:

Perimeter of Rectangle = 6x² + 22x + 12

Step-by-step explanation:

Perimeter of Rectangle = 2 × (Length + Breadth)

⇒ Perimeter of Rectangle = 2 × [(5x + 4x - 2) + (3x² + 2x + 8)]

⇒ Perimeter of Rectangle = 2 × [5x + 4x - 2 + 3x² + 2x + 8]

⇒ Perimeter of Rectangle = 2 × [9x - 2 + 3x² + 2x + 8]

⇒ Perimeter of Rectangle = 2 × [9x + 2x - 2 + 8 + 3x²]

⇒ Perimeter of Rectangle = 2 × [11x + 6 + 3x²]

⇒ Perimeter of Rectangle = 22x + 12 + 6x²

⇒ Perimeter of Rectangle = 6x² + 22x + 12