Question

The width of a rectangle measures (6.8d-4.2)(6.8d−4.2) centimeters, and its length measures (9.2d+8.7)(9.2d+8.7) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?

Answer 1

Answer:

The perimeter of the rectangle is represented by $p = 32\cdot d + 9$, measured in centimeters.

Step-by-step explanation:

The perimeter ($p$) of a rectangle, measured in centimeters, is represented by this formula:

$p = 2\cdot (w+l)$

Where $w$ and $l$ are width and length, measured in centimeters.

If $w = 6.8\cdot d-4.2$ and $l = 9.2\cdot d+8.7$, the expression that represents the perimeter is:

$p = 2\cdot (16\cdot d +4.5)$

$p = 32\cdot d + 9$

The perimeter of the rectangle is represented by $p = 32\cdot d + 9$, measured in centimeters.