Question

15x+4y+(-9x)+7y
(15+(-9))x+(4+7)y=6x+11y
find the perimeter of a rectangle with a length 4x and a width of (2x+1).

Explanation:

Step1: Recall perimeter formula

Perimeter of rectangle: \( P = 2(\text{length} + \text{width}) \)

Step2: Substitute length and width

Length \( = 4x \), Width \( = 2x + 1 \). So \( P = 2(4x + (2x + 1)) \)

Step3: Simplify inside the parentheses

\( 4x + 2x + 1 = 6x + 1 \)

Step4: Multiply by 2

\( P = 2(6x + 1) = 12x + 2 \)

Answer:

\( 12x + 2 \)