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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 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.
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
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).
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
How are area and perimeter and volume related?
They are characteristics of geometric shapes. However, there is no simple relationship. A rectangle with a given perimeter can have a whole range of areas.
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.
How is the perimeter and area of a square related?
There is no direct relationship. The perimeter is proportional to the length of the side (if you increase the side by a factor of 10, the perimeter will also increase by a factor of 10); the area is proportional to the square of the side length (if you increase the length of a side by a factor of 10, the area will increase by a factor of 100).If you know the perimeter, divide it by 4 and then square the result, to get the area (A = (P/4)2); if you know the area, take the square root and then multiply by 4 to get the perimeter (P = root(A) x 4).There is no direct relationship. The perimeter is proportional to the length of the side (if you increase the side by a factor of 10, the perimeter will also increase by a factor of 10); the area is proportional to the square of the side length (if you increase the length of a side by a factor of 10, the area will increase by a factor of 100).If you know the perimeter, divide it by 4 and then square the result, to get the area (A = (P/4)2); if you know the area, take the square root and then multiply by 4 to get the perimeter (P = root(A) x 4).There is no direct relationship. The perimeter is proportional to the length of the side (if you increase the side by a factor of 10, the perimeter will also increase by a factor of 10); the area is proportional to the square of the side length (if you increase the length of a side by a factor of 10, the area will increase by a factor of 100).If you know the perimeter, divide it by 4 and then square the result, to get the area (A = (P/4)2); if you know the area, take the square root and then multiply by 4 to get the perimeter (P = root(A) x 4).There is no direct relationship. The perimeter is proportional to the length of the side (if you increase the side by a factor of 10, the perimeter will also increase by a factor of 10); the area is proportional to the square of the side length (if you increase the length of a side by a factor of 10, the area will increase by a factor of 100).If you know the perimeter, divide it by 4 and then square the result, to get the area (A = (P/4)2); if you know the area, take the square root and then multiply by 4 to get the perimeter (P = root(A) x 4).
