Sarah wants to hang a mirror in her room. the mirror and frame must have an area of 15 square feet. the mirror is 3 feet wide and 4 feet long. which quadratic equation can be used to determine the thickness of the frame, x?

Step-by-step explanation:

We have been given that the mirror is 3 feet wide and the thickness of the frame is x, so width of the frame would be .

The width of mirror with frame would be .

Similarly, the length of the frame would be and the length of mirror with frame would be .

We know that area of rectangle is width times length, so area of frame with mirror would be .

We are told that The mirror and frame must have an area of 15 square feet, so we can equate our equation with 15 as:

Upon simplifying our equation, we will get:

Therefore, our required equation would be .

the graph line crosses the x axis at both -6 and -2, so the answer would be the second one.