0
Perimeter is the distance AROUND any particular object where area is the amount of space inside the object (2dimentional).
Let's say you have a yard 10 feet long, by 11 feet wide.
The perimeter is the distance AROUND your yard or 10+10+11+11 = 42ft
The AREA is the amount of space inside or L*W or 10*11 = 110ft^2
Suppose I change the dimensions of the yard without changing its perimeter (42 ft) and see what happens to the area. Suppose the length and width are 20ft and 1 ft respectively. The perimeter is still 20+1+20+1=42. The area however is 20X1 =20 ft2 Now if we take the yard to be a square one of 10.5 ft side then the perimeter still remains 42 ft. but the area becomes 110.25 ft2. Now suppose I assume that the perimeter of a circle is 42 ft. What will the area of such a circle be? Now we know that the circumference of a circle is 2x3.14(pi)Xr = 42 ft. Therefore r = 6.687 ft. r2= 44.715 ft2 therefore area of the circle is 4xpixr2= 561.63 ft 2. Thus we can deduce that given a known perimeter a circular shape has or occupies the largest area. What happens if the shape is irregular? Say a irregular polygon? Would my deduction that the cicrular shape has the largest area remain valid?
Still curious? Ask our experts.
Chat with our AI personalities
Maxine
Beau
JudyAdd your answer:
Earn +20 pts
How can a table represent an algebraic relationship between two variables?
It doesn't. But you can calculate the ratio (relationship) between any two measurements you can make on the table. Such measurements might be (among others): * Its length * Its width * Its diagonal * Its area * Its height * Its perimeter
How do you convert perimeter into square meters?
Well, honey, first you need to know the shape you're dealing with to calculate the perimeter. Once you've got that number, you can't just wave a magic wand and turn it into square meters. Perimeter is measured in linear units, while square meters measure area, so you'll need more information to make that conversion.
What is the difference between perimeter area and volume?
perimeter is all the sides added, area is the base times the height, and volume is on a prism u multiply the three different measurements
What is the relationship between the symbol and word for pi?
pi is the ratio of the perimeter of a circle to its diameter. The Greek letter, pi, is the first letter of the word perimetros (Greek for perimeter).
What is the area and the perimeter of 11Cm by 4Cm?
Area : 44cm² Perimeter : 30cm
What kind of manipulative can use to teach the relationship between area and perimeter?
In general, there is no relationship between area and perimeter.
How do you convert the perimeter of a trapezoid to area?
You cannot. There is no direct relationship between perimeter and area.
What is the relationship for perimeter and area for rectangle?
There is no relationship between the perimeter and area of a rectangle. Knowing the perimeter, it's not possible to find the area. If you pick a number for the perimeter, there are an infinite number of rectangles with different areas that all have that perimeter. Knowing the area, it's not possible to find the perimeter. If you pick a number for the area, there are an infinite number of rectangles with different perimeters that all have that area.
What is the relationship between the perimeter and area when area is fixed?
For a fixed area, the perimeter is minimum for a circle, but has no maximum. Fractal figures (such as Koch snowflake) may have a finite area within an infinite perimeter.
What is the relationship between scale factor and perimeter?
It is a strict linear relationship. Double the size, double the perimeter. The area, however, increases by the square of the scale factor.
What is the relation between perimeter and triangle area?
If you double (2 times) the perimeter the area will will be 4 times larger. Therefore the area is proportional to the square of the perimeter or the perimeter is proportional to the square root of area. The relationship as shown above applies only to triangles with similar proportions, that is when you scale up or down any triangle of fixed proportions. Other than that requirement, there is no relationship between perimeter and area of any shape of triangle except that it can be stated that the area will be maximum when the sides are of equal length (sides = 1/3 of perimeter).
Does perimeter have a relationship with area?
No because are is the in side and perimeter is the out side of all the sides..............
What is the relationship between perimeter and area and length?
Perimeter is the distance around an object. Area is the total amount of space inside the object. Length is the the measurement of one side of the object. Length is added up to find the perimeter. Length is multiplied to find the area.
How does a change in perimeter influence the area of a shape?
There is no systematic relationship between the two. Consider the following 2 rectangles: A = 8 cm * 8 cm: Perimeter = 32 cm, area = 64 cm2 B = 14 cm * 4 cm: Perimeter = 36 cm, area = 56 cm2 The perimeter of B is larger, but the area is smaller.
Is there a relationship between the area and the perimeter of a rectangle explain?
Yes, there is. The area of a rectangle sets a lower limit on its perimeter.If the area is A, then the quadrilateral shape with the smallest perimeter has sides of length sqrt(A). Therefore the minimum perimeter is 4*sqrt(A). The perimeter can have any value grater than that since the area of the rectangle can be maintained while making it thinner and longer and thus increasing its perimeter with out any upper limit.
What is the diffrence between area and perimeter?
The area is the space it covers. The perimeter is the length of its sides.
How do you find the perimeter using area?
Depending on the figure given you can find the area from the perimeter For example- If you have a square with a perimeter of 24, you divide 24 by 4 because all the sides of a square are congruent. In turn you will 6 as each side of the square The formula for the area of a square is side2 so you get 62 which is 36. The area is 36
