Answer:
12m²
Step-by-step explanation:
For a rectangle, with length L and width W,
the perimeter is given as
Perimeter,
P = (2 x Length) + (2 x Width)
P = 2L + 2W
It is given that the perimeter is 48, hence
48 = 2L + 2W (divide both sides by 2)
24 = L + W
or
L = 24 - W -----> eq 1
Also realize that the Area of a Rectangle is given by
A = L x W -----> eq 2
Substituting eq 1 into eq 2,
A = (24 - W) x W
A = -W² + 24W
Recall that for a quadratic equation y = ax² + bx + c, the maxima or minima is given by y(max) = -b/2a
In this case, b = 24 and a = -1
-b/2a = -24/[ 2(-1) ] = 12
Hence for A to be maximum A(max) = 12m² (Answer)
Answer:
Step-by-step explanation:
circumference = 2* pi * radius = 1
-> radius = 0.1592 mile
-
> diameter = 2* radius = 0.31847 mile
Perimeter is 102 Area is 496 and the tank one is it has 12. Liters right now
Answer:
True.
Step-by-step explanation:
It is because it is in the form 
and this equals 
.
Why it is in that form: well comparing , we have 
. Testing, plug in those values:
.
This has the squared form of 
.
Test if you like:
Use foil to expand:
First: x(x)=x^2
Outer: x(1)=x
Inner: 1(x)=x
Last: 1(1)=1
---------------Add together
It does indeed equal.
