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Does a shape with a smaller perimeter always have a smaller area?

No, a shape with a smaller perimeter does not always have a smaller area. The relationship between perimeter and area depends on the specific shape in question. For example, a square with a perimeter of 12 units will have a larger area than a rectangle with the same perimeter. The distribution of perimeter and area varies based on the shape's dimensions and proportions.


Do the two rectangles with the same perimeter always have the same area?

No. Take a square with each side 9 feet long. The perimeter is 9+9+9+9 = 36 ft and the area is 9 x 9 = 81 square feet. Now squash the square down a bit so that it is a 7 x 11 rectangle. The perimeter is still 36 ft, but the area is now smaller at 77 square feet. Squash it right down to just 1 ft tall by 17 ft wide and the perimeter is still 36 ft, but the area is now just 17 square feet. So for any given perimeter, the closer the shape of a rectangle is to a square, the larger will be the area.


Is it possible to make a shape with an area of 9 and a perimeter of 14?

Oh, dude, let me break it down for you. So, to make a shape with an area of 9, you could have a square with sides of length 3. But to have a perimeter of 14, you'd need a rectangle with sides of length 4 and 3. So, yeah, you can't have both at the same time. Like, it's just not gonna happen, man.


Can you make the area your a shape go up and perimeter go down?

My Daughter got this for homework, she was in year 3. I think you would be older than her. Figure it out or ask for help. Don't look for answers on Answers.com.


What different shapes have the same perimeter?

Can you describe the question more?? What kind of shape? How much perimeter do you need? If you narrow it down, there would be less answers. Right now there are too many answers. Narrow it plz.

Related Questions

How do you find the perimeter and area of a composite figures?

Break the composite shape down into simple units. Find the perimeter and area of each and then add these up as appropriate. If the shape cannot be broken down easily you may have to rely on integration or numerical methods.


Does a shape with a smaller perimeter always have a smaller area?

No, a shape with a smaller perimeter does not always have a smaller area. The relationship between perimeter and area depends on the specific shape in question. For example, a square with a perimeter of 12 units will have a larger area than a rectangle with the same perimeter. The distribution of perimeter and area varies based on the shape's dimensions and proportions.


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).


If two shapes have the same perimeter will they have the same area?

Not at all. For example:A square of 2 x 2 will have a perimeter of 8, and an area of 4. A rectangle of 3 x 1 will also have a perimeter of 8, and an area of 3.A "rectangle" of 4 x 0 will also have a perimeter of 8, but the area has shrunk down to zero. The circle has the largest area for a given perimeter/circumference.


How do you find the perimeter and area of an irregular shape?

Oh, isn't that a happy little question! To find the perimeter of an irregular shape, you simply add up the lengths of all its sides. And to find the area, you can break the shape into smaller, simpler shapes like triangles or rectangles, and then add up their individual areas. Just remember, there are no mistakes, only happy little accidents in math and art!


Do the two rectangles with the same perimeter always have the same area?

No. Take a square with each side 9 feet long. The perimeter is 9+9+9+9 = 36 ft and the area is 9 x 9 = 81 square feet. Now squash the square down a bit so that it is a 7 x 11 rectangle. The perimeter is still 36 ft, but the area is now smaller at 77 square feet. Squash it right down to just 1 ft tall by 17 ft wide and the perimeter is still 36 ft, but the area is now just 17 square feet. So for any given perimeter, the closer the shape of a rectangle is to a square, the larger will be the area.


Is it possible to make a shape with an area of 9 and a perimeter of 14?

Oh, dude, let me break it down for you. So, to make a shape with an area of 9, you could have a square with sides of length 3. But to have a perimeter of 14, you'd need a rectangle with sides of length 4 and 3. So, yeah, you can't have both at the same time. Like, it's just not gonna happen, man.


Can you make the area your a shape go up and perimeter go down?

My Daughter got this for homework, she was in year 3. I think you would be older than her. Figure it out or ask for help. Don't look for answers on Answers.com.


What shape has a perimeter of 9cm?

Any plane shape. Take a piece of string and tie it into a loop of length 9 cm. Put in down on a flat surface. Then move bits of the loop in and out - every one of the shapes you make will have a perimeter of 9 cm.


What different shapes have the same perimeter?

Can you describe the question more?? What kind of shape? How much perimeter do you need? If you narrow it down, there would be less answers. Right now there are too many answers. Narrow it plz.


How many different ways are there to find the area of an irregular shape?

You can name it or break it down


What is the easier way of calculating the area than counting all the squares?

One easier way of calculating the area of a shape is by using a formula specific to that shape, such as the formula for the area of a rectangle (length x width) or the formula for the area of a circle (πr^2). Another method is to break down the shape into simpler geometric shapes whose areas are known and then add or subtract those areas accordingly. Additionally, utilizing technology such as calculators or computer software can also simplify the calculation of area for complex shapes.