Arectangular painting has dimensions x + 8. the painting has a frame that is 3 inches wide. the total area of the picture and the frame is 384 inches ^2. find the dimensions of the painting in inches.
1) none of the choices are correct.
2) x² + 20x + 84 = 384
3) x² + 13x + 33 = 384
4) x² + 13x - 351 = 0

The dimensions of the painting are 10 in by 18 in

Step-by-step explanation:

The complete question is

A rectangular painting has dimensions x and x + 8. The painting has a frame that is 3 inches wide. The total area of the picture and the frame is 384 inches ^2. Find the dimensions of the painting in inches

we know that

The area of the painting is

The total area of the picture and the frame is 384 inches ^2

so

----> correct choice

solve the quadratic equation by graphing

using a graphing tool

The solution is x=10 in

see the attached figure

therefore

The dimensions of the painting are 10 in by 18 in

10

step-by-step explanation:

7+3=10