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:
4.5 -3
Step-by-step explanation:
Answer:
A and C
Step-by-step explanation:
2020 Edge
Algebraic Expression: 14x+25
Cost of gym membership for 6 months: 14(6)+25
Answer:
the answer is 12
Step-by-step explanation:
since the triangle is equilateral meaning all side of ABC is equal to each other AB= BC = AC= 8cm and MN is the middle line that divides AB and BC by two
thus, MB =BN= 4 cm. MN is the middle line thus will also be equal to the half of AC meaning MN=AC/2= 4cm. and perimeter is MBN = MN+MB+BN= 4cm+4cm+4cm =12cm
