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?
image of a frame 5 feet wide by 6 feet long, with an of x on the bottom and right sides

4x2 + 22x − 1 = 0
4x2 + 22x + 31 = 0
x2 + 11x − 1 = 0
x2 + 11x + 31 = 0

  4 + 22x − 1 = 0

Step-by-step explanation:

Start off with the standard formula to finding area with polynomials and quadratic functions.

(2x + 5)(2x + 6)

Work out like a normal binomial.

4 + 22x + 30 - 31

(You're subtracting 31 to take out the minimum of what the frame has to be)

4 + 22x - 1 = 0

use this formula:

p(a\b) = p(a and b)/p(b).

take it from here.

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step-by-step explanation: