Mabel Said:

Fixed Perimeter! What is it?

We Answered:

Fixed just means it doesn't change. For instance, if we fix a perimeter of 1 m, then we're just considering rectangles with that perimeter.

Marshall Said:

If a square is inscribed in a circle, what is the ratio of the area of the square to the circle as a whole?

We Answered:

radius = r ----> side of the square = rsqrt2 ----> ratio of area = 2/pi

Dianne Said:

find maximum area with 200 feet of perimeter fencing?

We Answered:

A = xy

If you have a rectanlge diagram, label the length y and both the widths x

1.) Set up a perimeter equation
2x+y = 200

2.) Solve for a variable
y = 200 - 2x

3.) restate the area formula: A=xy

For 'y' plug in the y that you solved for in step 2.

A = x(200-2x)

4.) expand
200x-2x^2

5.) do the derivative

A' = 200-4x

6.) set it equal to '0'
0 = 200 - 4x

7.) solve for 'x'
-200 = -4x
x = 50

8.) take this 'x' value and plug it into the equation in step 1
2x+y = 200
2(50) + y = 200
100 + y = 200
y = 200 - 100
y = 100

therefore your dimensions are 50 ft x 100ft.

hope that helps.

Jacqueline Said:

Help with finding figure with area and perimeter of 64 cm.?

We Answered:

Let the sides be x and y.
Thus,
Perimeter of parallelogram=2x+2y
64-2x=2y
y=32-x..........1
Area of parallelogram=xy
64/x=y..........2
Sub 1 into 2.
64/x=32-x
64=32x-x^2
x^2-32x+64=0
Discriminant=b^2-4ac
= (-32)^2-4(a)(+64)
=1024-256
=768

x1,2=(-b+-sqrt(discriminant))/2a
= (32+-sqrt(768))/2
= 16+-sqrt(768)
Since, lengths are positive,
x=16+sqrt(768).......A
Sub A into 1.
y=32-(16+sqrt(768))
Since, y is a negative value and lengths are always positive.
The figure is not a Square.

Area of triangle=0.5xy
=> 128/x=y.......1
Perimeter of triangle=x+y+sqrt(x^2+y^2)............2
sub 1 into 2.
64=x+(128/x)+sqrt(x^2+y^2)
(64+x^2)^2=x^4+y^2x^2
128(32+x^2)=x^2y^2
x^2=96
x=sqrt(96).....A
Sub A into 1.
128sqrt(96)/96=y
4/3(sqrt(96))=y
Since both x and y are positive values. The figure is a triangle.

:)

Marion Said:

area and perimeter math help!?

We Answered:

It doesn't make a difference. As long as your multiplying. But I'm pretty sure base=width and length=height.