Because:
Area=width*height
Perimeter=2(width+height)
Try it out:
width=5cm and
height=10cm
Then:
The perimeter
=2(5+10)
=2(15)
=30cm
And the area
=5*10
=50cm^2
width=14cm and
height=1cm
Then:
The perimeter
=2(1+14)
=2(15)
=30cm
And the area
=1*14
=14cm^2
10cm by 10cm (perimeter=40cm), 5cm by 20cm (perimeter=50cm), 50cm by 2cm (perimeter=104cm), 100cm by 1cm (perimeter=202cm). All of these rectangles' areas are 100cm2
For rectangles with the same perimeter, the sum of the length and width is constant, as it is directly related to the perimeter formula (P = 2(length + width)). However, even though they share the same perimeter, rectangles can have different areas depending on the specific values of length and width. This means that while the sum of length and width remains unchanged, the individual dimensions can vary to produce different areas.
No, two rectangles with the same perimeter do not necessarily have the same area. The area of a rectangle is calculated as length multiplied by width, while the perimeter is the sum of all sides. For example, a rectangle with dimensions 2x5 (perimeter 14) has an area of 10, while a rectangle with dimensions 3x4 (also perimeter 14) has an area of 12. Thus, rectangles can have the same perimeter but different areas.
You can't tell the dimensions from the perimeter. There are an infinite number of different rectangles, all with different lengths and widths, that all have the same perimeter.
they dont
10cm by 10cm (perimeter=40cm), 5cm by 20cm (perimeter=50cm), 50cm by 2cm (perimeter=104cm), 100cm by 1cm (perimeter=202cm). All of these rectangles' areas are 100cm2
For rectangles with the same perimeter, the sum of the length and width is constant, as it is directly related to the perimeter formula (P = 2(length + width)). However, even though they share the same perimeter, rectangles can have different areas depending on the specific values of length and width. This means that while the sum of length and width remains unchanged, the individual dimensions can vary to produce different areas.
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.
no
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. A 1 x 4 and a 2 x 3 have the same perimeter.
You can't tell the dimensions from the perimeter. There are an infinite number of different rectangles, all with different lengths and widths, that all have the same perimeter.
they dont
Yes they But their areas are
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.
That depends on the rectangle! You can have different rectangles with the same area, but with different perimeters.
You can't. Different shapes with the same perimeter may have different areas.