Ialready did the hint part but i’m not sure how to get the width or i don’t even know

1 foot

Step-by-step explanation:

Set equal:

4w² + 70w = 74

Move to one side:

4w² + 70w − 74 = 0

Simplify:

2w² + 35w − 37 = 0

Factor.  Using the AC method, ac = 2×-37 = -74.  Factors of -74 that add up to 35 are 37 and -2.  Dividing by a, the factors reduce to 37/2 and -1/1.

(w − 1) (2w + 37) = 0

Set each factor to 0 and solve:

w − 1 = 0

w = 1

2w + 37 = 0

w = -18.5

Since w must be positive, w = 1.  The width of the wood border is 1 foot.

the first one is x^2+2x+2

the second one is x^2+4

the last one is x^2-4x+8