No, they are not equal.
Say a rectangle is 3 x 2 = 6 sq in area
Say another is 6 x 1 = 6 sq in area
perimeter of first one is 2L + 2B = 10
perimeter of second one is 2L + 2B = 14
That depends on the exact shape. For the same area, you can have different perimeters, depending on the shape.
The area doesn't tell you the perimeter. There are an infinite number of different shapes and different dimensions that all have the same area but different perimeters. Here are a few 1/4-acre rectangles, and their perimeters: 90-ft x 121-ft . . 422-ft 30' x 363' . . . . . 786' 15' x 726' . . . . 1,482' 10' x 1,089' . . . 2,198' 6' x 1,815' . . . . 3,642' 2' x 5,445'. . . . 10,894'
Yes, it can because a 3 by 6 rectangle has the perimeter of 18 and has the area of 18! :)
I don't know about the relation in the perimeters of a triangle and a parallelogram but if a triangle is on the same base on which the parallelogram is and the triangle is between the same parallel lines of the parallelogram, then the area of the triangle will be half the area of the parallelogram. That is, area of a triangle = 1/2 area of a parallelogram if the triangle is on the same base and between the same parallel lines.
Yes. Say there are two rectangles, both with perimeter of 20. One of the rectangles is a 2 by 8 rectangle. The area of this rectangle is 2 x 8 which is 16. The other rectangle is a 4 by 6 rectangle. It has an area of 4 x 6 which is 24.
yes
That depends on the rectangle! You can have different rectangles with the same area, but with different perimeters.
because it can
Not enough data. Different rectangles (different length:width ratios) can have the same area, but different perimeters.
The perimeter for a certain area varies, depending on the figure. For example, a circle, different ellipses, a square, different rectangles, and different shapes of triangles, all have different perimeters or circumferences, for the same area.The perimeter for a certain area varies, depending on the figure. For example, a circle, different ellipses, a square, different rectangles, and different shapes of triangles, all have different perimeters or circumferences, for the same area.The perimeter for a certain area varies, depending on the figure. For example, a circle, different ellipses, a square, different rectangles, and different shapes of triangles, all have different perimeters or circumferences, for the same area.The perimeter for a certain area varies, depending on the figure. For example, a circle, different ellipses, a square, different rectangles, and different shapes of triangles, all have different perimeters or circumferences, for the same area.
No, in general that is not true. For two similar figures it is true. But you can easily design two different figures that have the same perimeters and different areas, or the same area and different perimeters. For example, two rectangles with a different length-to-width ratio.
It's very easy for two rectangles to have the same area and different perimeters,or the same perimeter and different areas. In either case, it would be obvious toyou when you see them that there's something different about them, and theywould not fit one on top of the other.But if two rectangles have the same area and the same perimeter, then to look at themyou'd swear that they're the same rectangle, and one could be laid down on the otherand fit exactly.
MOst of it
Because the area is different than the perimeters
None, other than that if the area is x square units, the perimeter must be greater than or equal to 4*sqrt(x) units. It is possible to construct a rectangle for each and every one of the infinitely many values greater than 4*sqrt(x) units. Consequently, there can be no relationship as suggested by the question.
You can't tell the perimeter from the area. There are an infinite number of different shapes,all with different perimeters, that have the same area. Even if you only consider rectangles,there are still an infinite number of those that all have the same area and different perimeters.Here are a few rectangles with area of 6 square feet:Dimensions ... Perimeter0.75 x 8 . . . . . . 17.51 x 6 . . . . . . . . 141.5 x 4 . . .. . . . 112 x 3 . . . . . . . . 10
Have a look at these five rectangles:Length . . . Width1 . . . . . . . . 3,00010 . . . . . . . 30015 . . . . . . . 20030 . . . . . . . 10050 . . . . . . . 60All five of them have the same area ... 3,000 ... but their perimeters are6002, 620, 430, 260, and 220.Knowing the area doesn't tell the perimeter. For any area you name, there arean infinite number of differemnt rectangles, with different dimensions, that allhave that same area.