Emily wants to hang a painting in a gallery. The painting and frame must have an area of 31 square feet. The painting is 5 feet wide by 6 feet long. Which quadratic equation can be used to determine the thickness of the frame, x?

4x^2 + 22x - 1 = 0

Step-by-step explanation:

Given that

The area is 31 square feet

And, the painting is 5 feet wide by 6 feet long

We need to find out which quadratic equation can be used

So,

(5 + 2x)(6 + 2x) = 31

30 + 10x + 12x + 4x^2 = 31

30 + 22x + 4x^2 = 31

4x^2 + 22x - 1 = 0

The above equation can be used for measuring out the thickness of the frame x