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Units mismatch prevents any comparison of the values:

  • perimeter is measured in units of length (e.g. inches, meters, miles)
  • area is measured in units of area (e.g. square inches, square meters, square miles)
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8y ago
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8y ago

The perimeter and the area are measured in different units. They cannot be compared in such a manner

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Q: Is the perimeter of a square always smaller than its area?
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If you remove a square from the area of a shape will its perimeter get smaller?

No, the area will get smaller, not the perimeter.


Is it sometimes always or never true that the perimeter of a rectangle is numerically greater than its area?

Sometimes. Experiment with a small square and with a large square (though any shape rectangle will do). A square of 4 x 4 has a perimeter of 16, and an area of 16. A smaller square has more perimeter than area. A larger square has more area than perimeter.


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

No, the size of the perimeter and the area of a shape are not always directly related. For example, a circle with a small perimeter can have a larger area compared to a square with a larger perimeter. The area of a shape is determined by the size of its dimensions, whereas the perimeter is the sum of the lengths of its sides.


Is area always more or equal to the perimeter in a square?

The area of a square is equal to twice the square's perimeter.


How do you find the perimeter of one side of a square when you are given the area and a smaller square inside?

If you are given the area, A square units, then each side of the square is sqrt(A) units. And then the perimeter is 4*sqrt(A) units. The smaller square inside is irrelevant.


How do you know the perimeter of a square and you want to determine its area Explain how you can calculate the area?

For a square, the area is always 1/4 of the perimeter squared. Or one side squared.


Is it possible for the area to be smaller than the perimeter?

It's possible for the digit to be smaller. A square with 3 feet on each side will have a 9 square foot area and a 12 foot perimeter. It's pointless to compare area and perimeter. They have different units.


A square has an area of 400 what is the perimeter?

A square with an area of 400 square units has a perimeter of 80 units.


What shape has a bigger area and a smaller perimeter?

Bigger than what ? Smaller than what ? If you have a certain perimeter and you want to cram the most area inside it, or if you have a certain area and you want to enclose it in the shortest perimeter, then you must make the perimeter circular. If you have only a limited number of fence posts and a circular perimeter isn't practical, then you make the perimeter square.


The larger the perimeter of a square the larger the area of that square?

The area of a square is a function of the perimeter of the square.


If the area of a square is 12 what is perimeter?

If the area of a square is 12 the perimeter is: 13.86


Can a rectangle have the same perimeter but different area explain?

No, any shape with four sides and same perimeter will always be a square.