Question

Pete's rectangular yard has a length of (6x + 3) and a width of (x + 8). Determine the perimeter of Pete's yard.

(a) 14x + 11
(b) 14x + 19
(c) 12x + 11
(d) 12x + 19

Answer 1

The perimeter of Pete's yard is 14x + 22.

Step-by-step explanation:

To determine the perimeter of Pete's yard, we need to add up all four sides of the rectangle. The formula for finding the perimeter of a rectangle is:

Perimeter = 2(Length + Width)

Substituting the given expressions for the length and width of Pete's yard, we have:

Perimeter = 2((6x + 3) + (x + 8))

Simplifying the expression inside the parentheses, we get:

Perimeter = 2(7x + 11)

Multiplying the value inside the parentheses by 2, we have:

Perimeter = 14x + 22

Therefore, the perimeter of Pete's yard is 14x + 22.