Question

The length of a rectangle is (x + 2). The width of the rectangle is (x^2 + 1). Which expression represents the perimeter of the rectangle?

A) x^2 + x + 3
B) 2x^2 + 2x + 6
C) x + 2x + x + 2
D) x + 2x + x + 3

Answer 1

The perimeter of the rectangle is B) 2x^2 + 2x + 6.

Step-by-step explanation:

The perimeter of a rectangle is the sum of all its sides. In this case, the rectangle has two sides of length (x + 2) and two sides of length (x^2 + 1). To find the expression that represents the perimeter, we add up all the sides: (x + 2) + (x + 2) + (x^2 + 1) + (x^2 + 1).

Simplifying this expression, we combine like terms and get 2x + 4 + 2x^2 + 2.

Therefore, the expression that represents the perimeter of the rectangle is B) 2x^2 + 2x + 6.