Your vector will be 10 times the unit vector in that direction. The unit vector is found by dividing the given vector by its length.
|| <3, -2> || = √(3² +(-2)²) = √13
Your vector of length 10 is then
... V = (10/√13)<3, -2> = <(30/13)√13, (-20/13)√13> ≈ <8.32, -5.55>
Let the length be l.
Formula of perimeter is P= 2(length +width )
1313 =2 (l+w)
l = \frac{1313}{2}-w
And the formula of area of rectangle = length times width .
A = l*w
A= (\frac{1313}{2}-w )*w
A = \frac{1313w}{2} -w^2
And that's the required objective function .
The equation represents parabola and a parabola is maximum at its vertex .
And the formula of vertex is
w = -\frac{b}{2a} =-\frac{1313}{4}
Substituting this value of w in the formula of area, we will get
A= \frac{1313*1313}{8} -(\frac{1313}{4})^2
Area= \frac{1723969}{16}=107748 \ square \ units .
Answer:
100% of 50 is 50
x = 50
Step-by-step explanation: