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Does a shape with a smaller perimeter always have a smaller area?
Wiki User
∙ 8y ago
No. Consider two rectangles: 1 x 10 and 4 x 5
The 1 x 10 has a perimeter of 22 and an area of 10
The 4 x 5 has a perimeter of 18 and an area of 20
Smaller perimeter, twice the area.
Wiki User
∙ 8y ago
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.
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What is area and perimeter?
Area is length times width (only for rectangle) while perimeter is all the sides added up (always).
If the area is 350square feet what is the perimeter?
There is insufficient information to answer the question. For a given area, the perimeter depends upon the shape. For a given area, the circle will have the smallest perimeter. For polygons, regular polygons will have a smaller perimeter than an irregular one of the same area. Also, for regular polygons, the greater the number of sides, the smaller the perimeter.
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.
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.
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.
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.
How do you find the perimeter and area of an irregular shape?
You break it up into smaller shapes which are less irregular. If these are more regular, you can calculate their contribution to the perimeter, and their area. You can then add these together.
What is area and perimeter?
Area is length times width (only for rectangle) while perimeter is all the sides added up (always).
If the area is 350square feet what is the perimeter?
There is insufficient information to answer the question. For a given area, the perimeter depends upon the shape. For a given area, the circle will have the smallest perimeter. For polygons, regular polygons will have a smaller perimeter than an irregular one of the same area. Also, for regular polygons, the greater the number of sides, the smaller the perimeter.
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.
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.
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.
What is a perimieter?
perimeter is when you have a shape and then you have your area and that is what is in the middle of the shape and perimeter is the edge of the shape.
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.
Is perimeter and area the same?
No , perimeter is the measurement outside of the shape; the border. Area is the measurement of inside of the shape.
What is the shape for a figure to have a perimeter of 20 and an area of 18?
Perimeter and area are not sufficient to determine the shape of a figure.
What is area an perimeter?
Area is the amount of square units in a 2-D shape, and perimeter is the distance around a shape
