Question

previously, we found that the expression (6x + 8) represents the perimeter of the first rectangle.
now find the expression that represents the perimeter of the second rectangle. then use the two expressions to find the combined perimeter of the rectangles.

first rectangle dimensions: width (2x - 3), height (x + 7)
second rectangle dimensions: width (x + 3y - 1), height (5x - 2y)

choices:

• (18x + 4y + 7)
• (18x + 2y + 6)
• (22xy + 6)
• (24x + 2y + 10)

Explanation:

Calculate the perimeter of the second rectangle

$$
LATEXBLOCK0
$$

Calculate the combined perimeter of both rectangles

$$
LATEXBLOCK1
$$

Answer:

• (A) \(18x + 4y + 7\)
• (B) \(18x + 2y + 6\) (Correct answer)
• (C) \(22xy + 6\)
• (D) \(24x + 2y + 10\)