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How do you make a rectangle with the same perimeter but different area?
Wiki User
∙ 11y ago
You just have to change the lengths of the sides. For example, if you wanted a perimeter of 20, your rectangle could be...
1x9 with area of 9
2x8 with area of 16
3x7 with area of 21
4x6 with area of 24
5x5 with area of 25
All of these have the same perimeter, but a different area, see?
Wiki User
∙ 11y ago
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Can you find the area of a rectangle only knowing the perimeter?
To find the area of a rectangle, you multiply the length by the width (one side by a different side) Or you could count how many centimeter squares make up the rectangle
Is there a relationship between the area and the perimeter of a rectangle?
No. Different rectangles, all with the same area, may have a different perimeter. Example:* A rectangle of 4 x 1 has an area of 4 square units, and a perimeter of 2(4+1) = 10. * A rectangle of 2 x 2 has an area of 4 square units, and a perimeter of 2(2+2) = 8. * A rectangle of 8 x 1/2 has an area of 4 square units, and a perimeter of 2(8 + 1/2) = 17. In fact, for any given area, you can make the perimeter arbitrarily large. On the other hand, you get the lowest perimeter if your rectangle is a square.
How do you maximize the area given the perimeter?
In the case of a rectangle, you would maximize the area given the perimeter by making the dimensions equal. In other words, you would make the rectangle into a square. However, to truly maximize the area, you would make the perimeter a perfect circle.
If The area of a rectangle is 176 sq cm what is the perimeter?
You can't tell the perimeter from knowing the area.There are an infinite number of rectangles with different dimensions that all have the same area.Here are a few examples.1 x 176 . . . perimeter = 3542 x 88 . . . perimeter = 1804 x 44 . . . perimeter = 968 x 22 . . . perimeter = 6016 x 11 . . . perimeter = 5413.266 x 13.266 . . . perimeter = 53.066All of these have an area of 176, but they all have different perimeters.The last one on the list is a square. That's the rectangle with the shortest possible perimeterthat has the area you want.The perimeter of this square is 53.066. You can make a rectangle with any perimetermore than that, and an area of 176.
How do you make a shape with 18 area and 20 perimeter?
a 4*5 rectangle.
A rectangle has a perimeter of 10 ft Write the area A of the rectangle as a function of the length of one side x of the rectangle?
This question has no unique answer. A (3 x 2) rectangle has a perimeter = 10, its area = 6 A (4 x 1) rectangle also has a perimeter = 10, but its area = 4 A (4.5 x 0.5) rectangle also has a perimeter = 10, but its area = 2.25. The greatest possible area for a rectangle with perimeter=10 occurs if the rectangle is a square, with all sides = 2.5. Then the area = 6.25. You can keep the same perimeter = 10 and make the area anything you want between zero and 6.25, by picking different lengths and widths, just as long as (length+width)=5.
Can you find the area of a rectangle only knowing the perimeter?
To find the area of a rectangle, you multiply the length by the width (one side by a different side) Or you could count how many centimeter squares make up the rectangle
Is there a relationship between the area and the perimeter of a rectangle?
No. Different rectangles, all with the same area, may have a different perimeter. Example:* A rectangle of 4 x 1 has an area of 4 square units, and a perimeter of 2(4+1) = 10. * A rectangle of 2 x 2 has an area of 4 square units, and a perimeter of 2(2+2) = 8. * A rectangle of 8 x 1/2 has an area of 4 square units, and a perimeter of 2(8 + 1/2) = 17. In fact, for any given area, you can make the perimeter arbitrarily large. On the other hand, you get the lowest perimeter if your rectangle is a square.
How do you maximize the area given the perimeter?
In the case of a rectangle, you would maximize the area given the perimeter by making the dimensions equal. In other words, you would make the rectangle into a square. However, to truly maximize the area, you would make the perimeter a perfect circle.
How do you make a shape with 18 area and 20 perimeter?
a 4*5 rectangle.
If The area of a rectangle is 176 sq cm what is the perimeter?
You can't tell the perimeter from knowing the area.There are an infinite number of rectangles with different dimensions that all have the same area.Here are a few examples.1 x 176 . . . perimeter = 3542 x 88 . . . perimeter = 1804 x 44 . . . perimeter = 968 x 22 . . . perimeter = 6016 x 11 . . . perimeter = 5413.266 x 13.266 . . . perimeter = 53.066All of these have an area of 176, but they all have different perimeters.The last one on the list is a square. That's the rectangle with the shortest possible perimeterthat has the area you want.The perimeter of this square is 53.066. You can make a rectangle with any perimetermore than that, and an area of 176.
Why are area and perimeter not dependent on one another?
That's because you can easily have two different shapes with the SAME perimeter, and DIFFERENT areas, or vice versa. Here is an example:* A 2x2 rectangle has an area of 4, and a perimeter of 8. * A 1x3 rectangle has an area of 3, and a perimeter of 8. * A 0x4 rectangle has an area of 0, and a perimeter of 8. (If you don't like this rectangle, you can make one that is arbitrarily close, i.e., a very small width.) Note that for two SIMILAR figures, any linear measurements are proportional to the scale size, and any area measure is proportional to the square of the scale size - that will make the area proportional to the perimeter, but only for two similar shapes, e.g., two rectangles with the same length-to-width ratio.
What shapes can you make with the area of 24 and perimeter of 22?
A 3 x 8 rectangle
Can the perimeter of area of a rectangle ever be an irrational number?
Yes, of course. Why ever not ? You can make your rectangle any size you want.
Can the same perimeters have a different area?
yes. for example imagine a cube with a length of five on all sides. its perimeter would be 20 and its area 25. now make it a rectangle with 6 as two lengths and 4 as two lengths. its perimeter is 20 but its area is 24
What are the side numbers to make a rectangle with 22cm perimeter and 24cm area?
Two sides of 8cm & two sides of 3cm fit the problem. 8+8+3+3=22cm (the perimeter you stated) AND a rectangle of 8x3cm is an area of 24cm2
Is it possible to make a shape of an area of 12 and a perimeter of 16?
Yes a 2 by 6 rectangle for example.
