ent Applications of Quadratic Equations al Points Possible: 17 uestions lose thr
ID: 3138904 • Letter: E
Question
ent Applications of Quadratic Equations al Points Possible: 17 uestions lose three sides of a pasture with a fence (the fourth side is a ciff wall, The farmer has 28 yards of fence and wants the pasture to have an area of 96 sq-yards. What should the dimensions of the pasture be? (For the purpose of this problem the width will be the smaller dimension (needing two sides; the length with be the longer dimension (needing one side). Additionally the length should be as long as possible.) length- yards width yards 9.611/1 Enter your answers as numbers. If necessary, round to the nearest hundredths Get help: Worked Example 1 Q11 (0.8/1) 9.12 (1/11 Points possible: 1 Unlimited attempts Message ins ? 9.14 (0,1)Explanation / Answer
1) fencing = 28 yards
let length = l
width = w
2 w + l = 28
l = 28 - 2w
area = 96
w( 28 - 2w ) = 96
28w - 2w^2 = 96
2w^2 - 28w + 96 = 0
w = 6
length = 16 yards
width = 6 yards
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