a rectangular mat has a perimeter of 52 inches. drag numbers to the lines to complete the expression that shows the area of the rectangle in terms of its width, w, in inches. area = ____ w² + ____ w + ____ -52 -26 -13 -1 0 1 13 26 52

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Accepted Answer

# Explanation:
## Step1: Find the length in terms of width
The perimeter formula for a rectangle is $P = 2(l + w)$. Given $P=52$, we have $52 = 2(l + w)$. Solving for $l$:
$$
\begin{align*}
l + w&=\frac{52}{2}\
l + w& = 26\
l&=26 - w
\end{align*}
$$
## Step2: Calculate the area formula
The area formula for a rectangle is $A=l\times w$. Substitute $l = 26 - w$ into the area formula:
$$
\begin{align*}
A&=(26 - w)\times w\
A&=26w-w^{2}\
A&=-w^{2}+26w + 0
\end{align*}
$$

# Answer:
$-1$, $26$, $0$

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Question

Explanation:

Step1: Find the length in terms of width

Step2: Calculate the area formula

Answer: