Question

Please help I already did the hint part but I’m not sure how to get the width or I don’t even know

Answer 1

1 footsie

Explanation:

the first thing ur gonna wanna do is set them equal:

4w^2 + 70w = 74

now in order to solve it you are goonna put it all onto one side:

4w^2+ 70w − 74 = 0

Now, you are gonna simplify this:

2w² + 35w − 37 = 0

(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. so the width must be 1 foot

Answer 2

1 foot

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.