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 2×2 10x − 7 = 0 3×2 12x − 7 = 0 4×2 10x − 1 = 0

1. Delwyn
The quadratic equation use to determine the thickness of the frame, x is 4x² + 10x – 1 = 0.
The correct option is D.

### What is a quadratic equation ?

A quadratic equation is an algebraic equation of the second degree in x.. The quadratic equation is written as ax2 + bx + c = 0, where x is the variable, a and b are the coefficients, and c is the constant term.

### According to the given information:

Total area  = 7 square feet
and,
Total area = Length x Width
So,
7 = (2x + 3)(2x + 2)
7 = 4×2 + 4x + 6x + 6
7 = 4×2 + 10x + 6
4×2 + 10x + 6 – 7 = 0
4×2 + 10x – 1 = 0
Hence,
The quadratic equation use to determine the thickness of the frame, x is 4x² + 10x – 1 = 0.