B is the general term of this progression.
The largest area that can be enclosed will be that of a square (140 ft)/4 = 35 ft on a side. Such a square has an area of (35 ft)² = 1225 ft², not enough for the garden to be 1300 ft². This tells us the solution to the equation you're being asked to write is non-real.
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Putting the given numbers in the area equation, you have
... 1300 = 70w -w²
Multiplying by -1 and completing the square, we have
... w² -70w +35² = -1300 +35²
... (w -35)² = 1225 -1300 = -75
Taking the square root shows us the solution is non-real.
... w - 35 = ±√(-75) = ±5i√3
... w = 35 ± 5i√3 . . . . . . . . . after adding 35. These are complex solutions.
The variable you wanted to find wasn’t mentioned, so I solved for all three:
5xy + n = 12
5xy = 12 - n
x = 12-n/5y
y = 12-n/5x
n = 12 - 5xy
Answer:
c. 18 units
Step-by-step explanation:
Points F and K are 3 units apart. (Both are on the horizontal line at y=2, so the segment length is the difference of x-coordinates: 4 -1 = 3.)
Points F and K are adjacent vertices of the hexagon, so the perimeter will be 6 times the length of KF: 6·(3 unit) = 18 units.
