Question

Perimeter of Diana's rectangular garden is 61 feet length of her garden is 5 feet more than twice width

Answer 1

Let's take a look at DIana's garden:

From the statement of the perimeter, we get that:

$\begin{gathered} w+2w+5+w+2w+5=61 \\ \rightarrow2\mleft(w\mright)+2\mleft(2w+5\mright)=61 \\ \rightarrow2w+4w+10=61 \\ \rightarrow6w=51\rightarrow w=\frac{51}{6} \\ \\ \rightarrow L=2(\frac{51}{6})+5\rightarrow L=22 \end{gathered}$

Therefore, the width of the garden is:

$w=8.5ft$

And the lenght:

$L=22ft$