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 alength of Ex inches and a width of 3x + 8 inches. Find a simplified expression for the area of the poster.

Answer 1

24x² + 64x square inches

Step-by-step explanation:
`\begin{gathered} \text{length of the poster = 8x inches} \\ \text{width of the poster = 3x + 8 inches} \\ \\ We\text{ n}eed\text{ to find the area of the poster} \end{gathered}`

Poster is rectangular in shape.

We'll apply area of rectangle to get the area of the poster

Area of rectangle = length × width

Area of rectangle = 8x × 3x + 8

Area of rectangle = 8x(3x + 8)

Expanding:

8x(3x + 8) = 8x(3) + 8x(8)

8x(3x + 8) = 24x² + 64x

Hence, area of the poster is 24x² + 64x square inches