Q:

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

Accepted Solution

A:
Answer:1 footStep-by-step explanation:Set equal:4w² + 70w = 74Move to one side:4w² + 70w − 74 = 0Simplify:2w² + 35w − 37 = 0Factor.  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) = 0Set each factor to 0 and solve:w − 1 = 0w = 12w + 37 = 0w = -18.5Since w must be positive, w = 1.  The width of the wood border is 1 foot.