A photograph measures 10 inches by 12 inches. a frame with constant width is placed around the photograph so that the total area of the framed photo is 288 square inches. what is the width of the frame? enter your answer in the box.

The correct answer is 3 inches.

To find this answer, we need to write and solve a quadratic equation.

Let's call the width of the frame X.

Then, the total width is 10 + 2x and the total length is 12 + 2x.

Having this information, we can write and solve the following equation.

(10 + 2x) (12 + 2x) = 288

4x^2 + 44x + 120 = 288

4x^2 + 44x - 168 = 0

4 (x - 3) (x + 14) = 0

The solutions are 3 and - 14, but only 3 makes sense in the story problem.