Systems of Equations Question

So I understand all the questions in this unit but I'm stumbling on this word problem.
I'd appreciate if you could help me out by explaining it and the steps to solve this question.

four corners are cut from a rectangular piece of cardboard that measures 5 ft by 3 ft the cuts are x feet from the corners after the cuts are made the sides of the rectangle are folded to form an open box the area of the bottom of the box is 12 ft^2.

What two equations represent the area, A, of the bottom of the box?
What are the approximate dimensions of the box for the width, length and height.

What is the approximate volume of the box?

Thanks!!!

let x be the size of the cutout
The base is now (5–2x) by (3–2x)
and the area is (5–2x)(3–2x) = 12
15 – 10x – 6x + 4x² = 12
4x² – 16x + 3 = 0

quadratic equation:
to solve ax² + bx + c = 0
x = [–b ±√(b²–4ac)] / 2a
x = [16 ±√(256–48)] / 8
x = [16 ±√(208)] / 8
x = [16 ±√(13•16)] / 8
x = [16 ± 4√(13)] / 8
x = 2 ± (1/2)√13
x = 2 ± 1.80
x = 3.8, 0.20 ft
the first is not valid
so the cutouts are 0.2 x 0.2 ft
the base is about (5–2x) by (3–2x) or 4.6 by 2.6 ft
and the height is 0.2 ft
you can do the rest.