Answer:
2275 square yards
Step-by-step explanation:
1 yard = 3 feet
We know that:
L = W + 30
where:
L = length
W = Width
We know that the soocer field has an area of 8800 square yards and that the equation to get this is:
<em>L * W = A</em>
<em>(W+30) * W = 8800</em>
<em>W^2 + 30 W = 8800</em>
<em>W^2 + 30W - 8800 = 0</em>
<em>(W+110)*(W-80) = 0</em>
<em>W=80</em>
<em>W=-110</em>
W=80 yards and L = 80 + 30 = 110 yards <em>This is the lenght of all the field.</em>
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The problem is asking us what is the maximum area that a ground keeper can outline assuming the the lenght remains 30 yards longer than the width
He has chalk to line 600 feet = 200 yards
Now we can assume that:
<em>2L + 2W = 200 yards</em>
<em>2(W+30) + 2W = 200 yards</em>
<em>2W + 60 + 2W = 200</em>
<em>4W = 140</em>
<em>W = 140/4</em>
<em>W = 35 yards</em>
<em>L= 35 + 30 = 65 yards</em>
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To know the maximum area we have to multiply:
35*65=2275 square yards