<h3>
Answer: 9</h3>
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Explanation:
The area of the parallelogram is equal to the base times height. The formula to use is A = b*h. The height and base are always perpendicular to one another.
The base is some unknown variable b. Multiply the base by the height 15 to get 15*b which is equal to the area 135
Therefore, 15*b = 135
Divide both sides by 15 and we isolate b
15b = 135
15b/15 = 135/15
b = 9
So the base is 9
Check:
area = base*height = 9*15 = 135
so the answer is confirmed
side note: we never use the value 17 at all. It is likely put in there as a distraction.
Shorter side: 130ft
longer side: 260ft
greatest possible area: 33800ft^2
basically get the equations for area and perimeter which will be
A: lw (length x width)
P: l + 2w
Substitute them into eachother and you get the equation:
-2w^2+520w = A
find the vertex of this parabola which will give you the greatest width which is 130m
Then u can find length and area from this width
Let
where we assume |r| < 1. Multiplying on both sides by r gives
and subtracting this from 
gives
As n → ∞, the exponential term will converge to 0, and the partial sums will converge to
Now, we're given
We must have |r| < 1 since both sums converge, so
Solving for r by substitution, we have
Recalling the difference of squares identity, we have
We've already confirmed r ≠ 1, so we can simplify this to
It follows that
and so the sum we want is
which doesn't appear to be either of the given answer choices. Are you sure there isn't a typo somewhere?
Im not sure what your asking
