Question

I need help answering number 1 please I don’t rlly understand the steps to doing it

Answer 1

Given:

The area is 30 square metres.

The length is 4m more than the width.

To find:

The width and length of the rectangle.

Step-by-step explanation:

According to the question,

`l=w+4`

Using the area of the rectangle is,

`\begin{gathered} A=lw \\ 30=(w+4)w \\ 30=w^2+4w \\ w^2+4w=30 \\ w^2+4w+4=30+4 \\ (w+2)^2=34 \\ w+2=√(34) \\ w=√(34)-2 \\ w\approx5.83-2 \\ w\approx3.83m \end{gathered}`

So, the length would be,

`\begin{gathered} l=3.83+4 \\ l=7.83m \end{gathered}`

Final answer:

• The length of the rectangle is 7.83m.

,

• The width of the rectangle is 3.83m.