Answer:
x = 600 m
y = 1200 m
Amax = 720000 m²
Step-by-step explanation:
Let call x the smaller side of the rectangular plot and y the largest ( we assume we have one y side bounded by a river: Then
A(p) Area of the plot x*y
A(p) = x*y
And perimeter of the plot ( to be fenced ) is:
P(p) = 2*x + y = 2400 ⇒ y = 2400 - 2*x
Area of rectangular plot as function of x:
A(x) = x * ( 2400 - 2x )
Taking derivatives on both sides of the equation
A´(x) = ( 2400 - 2x ) + (-2) *x ⇒ A´(x) = ( 2400 - 2x ) - 2x
A´(x) = 0 ⇒ 2400 - 4x = 0 ⇒ 4x = 2400
x = 600 m
And y = 2400 - 2*x
y = 2400 - 1200
y = 1200 m
And the largest enclosed area is Amax = 1200*600
Amax = 720000 m²
Answer: x= 1
Step-by-step explanation:
Subtract 2x from both sides
−7=5x−10−2x
Simplify
7=3x-10
Add 10 to both sides
7+10=3x
Simplify
3=3x
Divide
x=1
If you have any questions let me know!
:)
Hope this helps!!! Good luck!!! ;)
When the woman trade in 40 miles to the gallon and got a car for 38 the percent of decrease in mileage is 2% in mileage.
