Question

the perimeter of a rectangle
find a completely simplified expression for the perimeter (2 - length + 2 - width) of the blue rectangle:
2x + 5
3x - 9
perimeter:

Explanation:

Step1: Recall perimeter formula

The perimeter $P$ of a rectangle is $P = 2l+2w$, where $l$ is the length and $w$ is the width. Here, $l = 2x + 5$ and $w=3x - 9$.

Step2: Substitute length and width

$P=2(2x + 5)+2(3x - 9)$.

Step3: Distribute the 2s

$P=(2\times2x+2\times5)+(2\times3x-2\times9)=4x + 10+6x-18$.

Step4: Combine like - terms

$P=(4x+6x)+(10 - 18)=10x-8$.

Answer:

$10x - 8$