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=(51)/(6) \\ \\ \rightarrow L=2((51)/(6))+5\rightarrow L=22 \end{gathered}`

Therefore, the width of the garden is:

`w=8.5ft`

And the lenght:

`L=22ft`