0
No the area is not always larger than the perimeter. Ex. The area of a reectangle could be 4 feet. The width could be 4 while the length is 1. The perimeter total would be 10.
Wiki User
∙ 8y ago
Add your answer:
Earn +20 pts
Rectangle whose perimeter is larger than area?
Perimeter is a unit of length. Area is a unit of area. The two units are not directly convertible.However, the area of a rectangle is length times width, and the perimeter is two times length plus two times width. Given constant perimeter, a square has maximum area, while a very thin rectangle has nearly zero area. (In calculus terms, the limit of the area as length or width goes to zero is zero.)Depending on how you want to name your units, you can always find a rectangle whose perimeter is "larger" than area, but this is a numerical trick that is not valid in any school of thought of mathematics that I know.
Can perimeter be larger than area?
yes if you have a 1 by 1 rectangle, you would have a perimeter of 4 but an area of 1 [ADDED} It's really a meaningless question because although such numbers suggest that, you cannot compare a linear dimension (perimeter) with an area.
Is area on a triangle larger than perimeter?
Perimeter is length (units feet, centimeters, etc.) Area is length2 (square feet, square centimeters etc.). But if you want to disregard the units, you can find triangles which perimeter is larger, smaller or even 'equal' to area, depending on scale.Take a 3,4,5 right triangle. The perimeter = 3+4+5= 12 units. Area = 3*4/2 = 6 square units. Now double the sides.Perimeter = 6 + 8+ 10 = 24 units. Area = 6*8/2 = 24 square units (the numbers are equal). Scaling it larger, then the valueof the area (in square units) will be larger than the perimeter value (in straight units).
Is the perimeter of a polygon less than the area of the polygon?
if your perimeter totals the same as 4 times pi then the maximum area that can be encompassed is equal to the perimeter. This is done by forming a circle. if you change the shape of the circle then the area will become smaller than the perimeter(circumference) if you make the circumference of the circle smaller then you will definitely decrease the area faster than you would the perimeter if you make the perimeter bigger then you will definitely increase the area faster than you would the perimeter.
Can a rectangle have a greater perimeter and also have a greater area?
Of course, a rectangle can have a greater perimeter and a greater area. Simply double all the sides: the perimeter is doubled and the area is quadrupled - both bigger than they were.
Is The area of a rectangle always greater than the perimeter?
To answer this simply try a few out for yourself. In a 2x1 cm rectangle, the area is 2 cm squared and the perimeter is 6 cm In a 12x10 rectangle, the area is 120 cm squared and the perimeter is 44 cm. In some cases, the perimeter is larger and in others it is smaller. To answer your question, no, the perimeter of a rectangle is NOT always greater than its area.
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.
What is larger area or perimeter?
It depends. With a square with a side of 2, the perimeter is 8 while the area is 4. With a square with a side of 10, the perimeter is 40 while the area is 100. Usually, though, you'll find that the area is larger than the perimeter.
Can a perimeter be larger than the area itself for example a 3x3 square with a perimeter of 12in and a area of 9in?
yes
Is perimeter always greater than the area?
No the area is almost always greater.
Is the perimeter larger than the area?
Yes it can but on some occasions the area can be more.
Is the perimeter of a triangle always bigger than the area of a triangle?
no
If a perimeter is 22 ft what is rectangle with an area larger than 30?
5
Rectangle whose perimeter is larger than area?
Perimeter is a unit of length. Area is a unit of area. The two units are not directly convertible.However, the area of a rectangle is length times width, and the perimeter is two times length plus two times width. Given constant perimeter, a square has maximum area, while a very thin rectangle has nearly zero area. (In calculus terms, the limit of the area as length or width goes to zero is zero.)Depending on how you want to name your units, you can always find a rectangle whose perimeter is "larger" than area, but this is a numerical trick that is not valid in any school of thought of mathematics that I know.
Is perimeter larger than the area of square?
Perimeter is length or distance (inches, feet, meters). Area is square units (length2 : square inches, square feet, square meters), so to say that one is larger than another is not relevant. If it's a 1 by 1, then the perimeter is 4 and the area is 1. But if the square is 5 by 5, then it has a perimeter of 20 and an area of 25. It depends, good luck.
Can perimeter be larger than area?
yes if you have a 1 by 1 rectangle, you would have a perimeter of 4 but an area of 1 [ADDED} It's really a meaningless question because although such numbers suggest that, you cannot compare a linear dimension (perimeter) with an area.
Is the perimiter of 11 by 12 rectangle smaller or larger than the perimiter of a sqare with the same area?
11 x 12 rectangle has a larger perimeter = 46 units The 132 square unit area will give a square a perimeter of 45.9565 units
