SOLUTION: How do you find the answer to this? I understand where the 150 comes from, but not the -3/2. A farmer has a total of 300 yards of fencing. He wants to enclose a recfield and the

Question 204715: How do you find the answer to this? I understand where the 150 comes from, but not the -3/2.
A farmer has a total of 300 yards of fencing. He wants to enclose a recfield and then divide it into 2 plots with a piece of fencing inside the field parallel to one of the sides. Let x represent the length of the piece of fencing located inside the field. Express teh area of the field as a function of x.
There's a diagram with a rectangle and a line almost halfway through it vertically but a little bit closer to the left side, with x next to it. The answer is A=x(150-3/2x)
Found 2 solutions by scott8148, alicealc:
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
"Let x represent the length of the piece of fencing located inside the field"
___ so there are two sides that are also x long (and parallel to it)

this leaves 300-3x yards of fencing for the two remaining sides ___ each one is 300/2 - 3x/2 or 150 - 3/2 x

the area is the x dimension multiplied by the (150 - 3/2 x) dimension
Answer by alicealc(293) (Show Source): You can put this solution on YOUR website!
the problem can be drawn like this:

since the vertical side of the field is fenced x meters long each, then the 2 horizontal sides will be fenced (300 - 3x) meters long
so each horizontal side of the field is:

=
and the area of the field is:
Area = x(150 - 3/2 x)

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