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Subjects>Math>Math & Arithmetic

Why can two rectangles have the same perimeter but different areas?

Anonymous

∙ 13y ago

Updated: 12/21/2022

Because:

Area=width*height

Perimeter=2(width+height)

Try it out:

If:
width=5cm and
height=10cm
Then:
The perimeter
=2(5+10)
=2(15)
=30cm
And the area
=5*10
=50cm^2
If:
width=14cm and
height=1cm
Then:
The perimeter
=2(1+14)
=2(15)
=30cm
And the area
=1*14
=14cm^2

Wiki User

∙ 13y ago

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Q: Why can two rectangles have the same perimeter but different areas?

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Find 4 rectangles with same area with different perimeter?

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

What is true about the sum of the length and the width for any rectangles with the same perimeterbut different areas?

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.

What is the length of the sides of a rectangle that has a perimeter of .875?

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.

Why does rectangles have the same area and perimeter?

they dont

What is the perimeter in meters of a 28 acre field?

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.

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Related Questions

Find 4 rectangles with same area with different perimeter?

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

Can different rectangles have the same area and perimeter?

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.

Do two different rectangles with the same perimeter necessarily have the same area?

no

Can rectangles with the same perimeter have different areas?

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.

Can two rectangles have a different shape but have the same perimeter?

Yes. A 1 x 4 and a 2 x 3 have the same perimeter.

What is the length of the sides of a rectangle that has a perimeter of .875?

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.

Do these rectangles the same perimeter 12 meters x 4 meters and 13 meters x 3?

Yes they But their areas are

Why does rectangles have the same area and perimeter?

they dont

What is the perimeter in meters of a 28 acre field?

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.

What is the perimeter of a rectangle whose area is 21?

That depends on the rectangle! You can have different rectangles with the same area, but with different perimeters.

How to convert perimeter feet into acres?

You can't. Different shapes with the same perimeter may have different areas.

Would Two rectangles that have a same perimeter are congruent?

No

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