Question

select the expression that can be used to determine the amount of decorative border wallpaper that margarette needs for the living room. a 8x + 18 b 7x²+66x + 80 c 16x + 36 d 7x²+80 (x + 8) (7x + 10) living room

Explanation:

Step1: Recall perimeter formula

$P = 2(l + w)$

Step2: Substitute length and width

$P=2((7x + 10)+(x + 8))$

Step3: Simplify inside - parentheses

$P=2(8x + 18)$

Step4: Distribute the 2

$P=16x+36$

Answer:

The amount of decorative border wallpaper needed is the perimeter of the rectangle. The formula for the perimeter $P$ of a rectangle with length $l$ and width $w$ is $P = 2(l + w)$. Here, $l=7x + 10$ and $w=x + 8$.

\[

$$\begin{align*} P&=2((7x + 10)+(x + 8))\\ &=2(7x+10+x + 8)\\ &=2(8x+18)\\ &=16x + 36 \end{align*}$$

\]

So the answer is C. 16x + 36