Question

Find the area of a rectangle. The perimeter is 92 meters and the length is 6 more than 4 times the width. [?] square meters Enter the number that belongs in the green box. Enter

Answer 1

We have the following:

`p=2\cdot l+2\cdot w`

Where p is perimeter, l is the length and w is the width, replacing:

`\begin{gathered} l=4\cdot w+6 \\ p=92 \\ 92=2\cdot(4\cdot w+6)+2\cdot w \\ 92=6w+12+2w \\ 8w=92-12 \\ w=(80)/(8) \\ w=8 \end{gathered}`

for the length:

`\begin{gathered} l=4\cdot8+6 \\ l=38 \end{gathered}`

Now, the area is:

`\begin{gathered} A=l\cdot w \\ A=8\cdot38 \\ A=304 \end{gathered}`

The anwers is 304 square meters