Question

Alexi wants to hang a mirror in his boat and put a frame around it. The mirror and frame must have an area at 19.25 square feet. The mirror is 3 feet wide and 5 feet long. Which quadratic equation can be used to determine the thickness of the frame, x.

1. 2x^2+8x-19.25 = 0
2. 3x^2+5x-19.25 = 0
3. 4x^2+16x-4.25 = 0
4. 4x^2+16x+15 = 0

Answer 1

The answer is C

4x^2+16x-4.25=0

I took the test

Explanation:

Answer 2

Given:
area of mirror and frame : 19.25 square ft.
dimensions of the mirror: length = 5ft ; width = 3ft

area of mirror = 5 ft * 3 ft = 15 square feet.
area of frame = 19.25 square feet - 15 square feet = 4.25 square feet.

I think the correct answer is 3.) 4x² + 16x - 4.25