Can the Area Be Smaller Than the Perimeter

But as you can see the area varies quite a bit. Answer 1 of 3.


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The area can be smaller or larger than the perimeter depending on the shape.

. This is done by forming a circle. It doesnt make sense to compare the area and perimeter of a polygon. If you change the shape of the circle then the area will become smaller than the perimetercircumference if you make the circumference of the circle smaller then.

This is done by forming a circle. Yes you can draw a the shape in which the perimeter is numerically twice the area it is a 2 by 2 square because the area is 4cm2 and the perimeter is 8cm. Bashayer from Kingsbury Green Primary also found this solution.

There is no polygon of a given area with minimum perimeter. In other words it has a length of 0001 m but an area of 1 10 6 m which is less than the length of any individual side. The area of a square is calculated by squaring its length.

Or larger as long as its greater than 2 exactly and less than 14 exactly. A common error is to assume that a triangle that has a fixed perimeter must also have a fixed area. Its perimeter is 16 inches and its area is 15 square inches.

This is definitely not the case as can be seen from the figure above. Since the rectangle has the same perimeter as the square the other two sides of the rectangle are sx units long Area of rectangle s-xsx s² -. However if a square has a side length of 1 m m then its area is 1 m m 2.

If we measure the same card in cm we see that it. Answer 1 of 3. Of all the polygons with n sides and a given area there is one with a minimum perimeter and that is.

You can divide your diagram into one-unit feet cm miles segments vertically and horizontally if you want to visualize how the area measurement will look. So it could be as small as 20000000000001 or smaller or as large as 139999999999999. Does this mean the perimeter is greater than the area.

Answer 1 of 2. If each side of the square is s units long the area is s². This is done by forming a circle.

As you drag the orange point A the triangle will maintain a fixed perimeter. For example a square with a length of 2 m yields an area of 4 m 2. No matter what polygon you take there is another polygon with the same area but a smaller perimeter.

If you change the shape of the circle then the area will become smaller than the perimetercircumference if you make the circumference of the circle smaller then. If you change the shape of the circle then the area will become smaller than the perimetercircumference if you make the circumference of the circle smaller then. For example take a 3 inch 5 inch card.

Suppose two opposite sides of the rectangle are s-x units long. Since we can make an area infinitely close to zero we know we can make a triangle of any area greater than 0 and less than or equal to the maximum area which is 6 8 2 24.


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