Question

Find the perimeter of a rectangle with sides 3x + 6 and -2x -8​

Answer 1

Answer:

The perimeter of a rectangle with sides 3x + 6 and -2x - 8​ will be:

$P = 2x - 4$

Step-by-step explanation:

We know that the perimeter of a rectangle of length 'l' and width 'w' is given by the formula

• P = 2(length + width)

Given the sides of a rectangle

• 3x + 6

• -2x - 8​

As the opposite sides of a rectangle are congruent.

Therefore, we conclude that the Perimeter of a rectangle can be determined using the formula

$\:P\:=\:2\left(3x\:+\:6\:+\:\left(-2x\:-\:8\right)\right)$

    $=2\left(3x+6-2x-8\right)$

    $=2\left(x-2\right)$

     $=2x-4$

Therefore, the perimeter of a rectangle with sides 3x + 6 and -2x - 8​ will be:

$P = 2x - 4$

Answer 2

Answer:

2x - 4

Step-by-step explanation:

2(3x + 6) = 6x + 12

2(-2x - 8) = -4x -16

6x + 12 - 4x - 16 = 2x - 4