Question

please help | look at the picture + step by step pleaseeee

Answer 1

Answer:

The dimension of the rectangle is;

$\begin{gathered} \text{length }l=12\text{ inches} \\ \text{width }w=6\text{ inches} \end{gathered}$

Explanation:

1.

Given that the perimeter of the rectangle is 36 inches;

let l and w represent the length and width of the rectangle respectively;

$2(l+w)=36\text{ ------1}$

And its length is two times its width;

$l=2w\text{ ----2}$

substitute equation 2 into 1;

$\begin{gathered} 2(l+w)=36 \\ 2(2w+w)=36 \\ 2(3w)=36 \\ 6w=36 \\ w=\frac{36}{6} \\ w=6\text{ inches} \end{gathered}$

substituting the value of width w into equation 2;

$\begin{gathered} l=2w=2(6) \\ l=12\text{ inches} \end{gathered}$

Therefore, the dimension of the rectangle is;

$\begin{gathered} \text{length }l=12\text{ inches} \\ \text{width }w=6\text{ inches} \end{gathered}$