Q44. - Algebra 1

Question

Which expression best represents the perimeter of the rectangle.

$\begin{array}{l}F)\frac{r^4}{9}\\ G)l+w\\ H)2l+2w\\ J\left)4\right(l+w)\end{array}$

Step-by-Step Solution

Answer

The expression for the area of the rectangle is $H)2l+2w$.

Step 1. The perimeter of the rectangle.

The perimeter of the rectangle is $2(L+W)$, where $L$ is the length of the rectangle and $W$ is the width.

Step 2. Put the value of length and width into the perimeter formula.

From the given figure, the length and width of the rectangle is $landw$ respectively.

Put $L=landW=w$ into the formula $2(L+W)$.

$Perimeter=2(l+w)$

Step 3. Remove the parenthesis.

$\begin{array}{l}Perimeter=2(l+w)\\ Perimeter=2l+2w\end{array}$

Hence, the correct option is $H) 2l+2w$