Question

Mary wants to hang a mirror in her room. The mirror and frame must have an area of 7 square feet. The mirror is 2 feet wide and 3 feet long. Which quadratic equation can be used to determine the thickness of the frame, x?

Square with an inner frame with height of 2 ft on the left frame and width of 3 ft on the top. Arrow on the bottom frame with an x and an arrow on the right frame with an x.

x2 + 14x − 2 = 0
2x2 + 10x − 7 = 0
3x2 + 12x − 7 = 0
4x2 + 10x − 1 = 0

Answer 1

4x2 + 10x − 1 = 0

Explanation:

Answer 2

`(3 + 2x)(2 + 2x) = 7`

`6 + 10x + 4{x}^(2) = 7`

`4 {x}^(2) + 10x - 1 = 0`