You could just subtract the numbers from the line. It's simple.
No, the equation would equal 28g^2
Only numbers that are perfect squares have an odd number of positive factors. all other types of numbers have an even number. so if negative factors are included, then all numbers have an even number of factors.
Answer:
L(min) = 125 ft
Dimensions of the pens
biggest side x /2 = 31.225 ft
shorter side w = 20.82 ft
Step-by-step explanation:
Let call w width of the pen ( the shorter side )
Let call x the biggest side of the two pen.
The configuration we get is that we will use 3 times w + just one side of x
Then total length of fence is
L = 3*w + x (1)
And area of one pen is A = (x/2)* w and that area have to be 650 ft²
650*2 = x*w ⇒ w = 1300/x
So to get L as function of x we plugg this value in equation (1)
L(x) = 3* 1300/x + x
Taking derivatives on both sides of the equation
L´(x) = -3900/x² + 1
L´(x) = 0 ⇒ x² = 3900 ⇒ x = 62.45 ft
and w = 1300/x w = 20.82 ft
And the least amount of fence is
L(min) = 3* 20.82 + 62,45
L(min) = 62.45 + 62.45
L(min) = 125 ft