Question

A graphic artist is designing a poster to advertise an upcoming event. The only restrictions regarding the poster size is that it must have a length of 6x inches and a width of 5x+3 inches. Find a simplified expression for the area of the poster.

Answer 1

From the question

`\begin{gathered} \text{The length of the poster }l\text{ must be }6x\text{ inches, that is } \\ l=6x \\ \text{The width w, must be }5x+3\text{ inches, that is } \\ w=5x+3 \end{gathered}`

And a poster is in a shape of a rectangle. The area of a rectangle is measured as

`A=l* w`

So, the expression for the area of the poster becomes

`\begin{gathered} A=6x*(5x+3) \\ A=30x^2+18x \end{gathered}`

Hence the answer is

`A=30x^2+18x`