The equation you need to find x is,
.
Then solving for x gives you
.
Hope this helps.
Answer:
h = 40.5 m
A) 1 : 9
B) 1 : 3
C) 40.5 m
Step-by-step explanation:
Let the height of the larger triangle be h
Therefore,
A)
The ratio of the area of small triangle to the large triangle
B)
The ratio of the side length of small triangle to the side length of large triangle
C) The height of the larger triangle is <u>40.5 m</u>
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