Tabitha wants to hang a painting in a gallery. the painting and frame must have an area of 58 square feet. the painting is 7 feet wide by 8 feet long. which quadratic equation can be used to determine the thickness of the frame, x? image of a frame 7 feet wide by 8 feet long, with an of x on the bottom and right sides x2 + 15x − 2 = 0 x2 + 15x + 58 = 0 4x2 + 30x − 2 = 0 4x2 + 30x + 58 = 0

therefore, the answer is

c. 4x2 + 30x − 2 = 0

if the total area of the painting and the frame is 58 sq ft, we have the equation:

(8 + 2x)(7 + 2x) = 58

expanding the equation,

56 + 30x + 4x^2 = 58

combining like terms and arranging the equation, we have:

4x^2 + 30x - 2 = 0

therefore, the answer is

c. 4x2 + 30x − 2 = 0

450

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