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How do you find the dimensions of a rectangle with only the area and perimeter?

There are often multiple 'correct' dimensions for these problems. The most straight forward way to solve it is to list all the factors that, when multiplied, equal the area. Then from this list, cross out the factors that DON'T equal your perimeter. The remaining factors are your possible dimensions.


Is the area the same on all rectangles with the same perimeter?

No, it is not. I'll give you two examples of a rectangle with a perimeter of 1. The first rectangle has dimensions of 1/4x1/4. The area is 1/16. The second rectangle has dimensions of 3/8x1/8. The area is 3/64. You can clearly see that these two rectangles have the same perimeter, yet the area is different.


All possible whole number dimensions for rectangle with perimeter of 10 units?

If the dimensions are restricted to whole numbers, then the only possibilities are 1 x 4 and 2 x 3.


If two rectangles have the same perimetre they must have the same area?

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.


If you have 24 square pieces of wood describe all the different ways you could make a rectangle by placing them side-by-side?

To create rectangles using 24 square pieces of wood, you need to find pairs of factors of 24 that represent the rectangle's dimensions. The possible dimensions are: 1x24, 2x12, 3x8, and 4x6. Each pair corresponds to a unique rectangle configuration, with the area of each rectangle equaling 24 square units. Thus, the different rectangle arrangements are 1x24, 2x12, 3x8, and 4x6.

Related Questions

How do you find the dimensions of a rectangle with only the area and perimeter?

There are often multiple 'correct' dimensions for these problems. The most straight forward way to solve it is to list all the factors that, when multiplied, equal the area. Then from this list, cross out the factors that DON'T equal your perimeter. The remaining factors are your possible dimensions.


A rectangle has a area of 36cm2 what are all the possible perimeters be?

24


What are the all the possible dimesions of a rectangle if the area is 15809?

5 sides


Is the area the same on all rectangles with the same perimeter?

No, it is not. I'll give you two examples of a rectangle with a perimeter of 1. The first rectangle has dimensions of 1/4x1/4. The area is 1/16. The second rectangle has dimensions of 3/8x1/8. The area is 3/64. You can clearly see that these two rectangles have the same perimeter, yet the area is different.


All possible whole number dimensions for rectangle with perimeter of 10 units?

If the dimensions are restricted to whole numbers, then the only possibilities are 1 x 4 and 2 x 3.


If two rectangles have the same perimetre they must have the same area?

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.


What kind of shape has a perimeter of 26 cm and an area of 36 cm?

The shape that has a perimeter of 26 cm and an area of 36 cm² is a rectangle. To find the dimensions of the rectangle, we need to set up equations based on the given information. Let the length be L and the width be W. The perimeter formula for a rectangle is P = 2(L + W) and the area formula is A = L * W. By solving the system of equations P = 26, A = 36, we can find that the dimensions of the rectangle are length = 9 cm and width = 4 cm.


If you have 24 square pieces of wood describe all the different ways you could make a rectangle by placing them side-by-side?

To create rectangles using 24 square pieces of wood, you need to find pairs of factors of 24 that represent the rectangle's dimensions. The possible dimensions are: 1x24, 2x12, 3x8, and 4x6. Each pair corresponds to a unique rectangle configuration, with the area of each rectangle equaling 24 square units. Thus, the different rectangle arrangements are 1x24, 2x12, 3x8, and 4x6.


List all the possible dimensions of a rectangle with the number 22?

There are infinitely many: 1*22, 5*4.4, 4*5.5 are three examples.


How do you determine the area of a rectangle if you know the perimeter?

You can't. The perimeter doesn't tell the area. There are an infinite number of shapes with different dimensions and different areas that all have the same perimeter.


What is the formula for finding the dimensions of a rectangle when all the information you have is the area?

If you have the information of the area is easy from there all you do is multiply it by itself P=2(times)L + 2(times)W A=L(times) W :)


What is the relationship for perimeter and area for rectangle?

There is no relationship between the perimeter and area of a rectangle. Knowing the perimeter, it's not possible to find the area. If you pick a number for the perimeter, there are an infinite number of rectangles with different areas that all have that perimeter. Knowing the area, it's not possible to find the perimeter. If you pick a number for the area, there are an infinite number of rectangles with different perimeters that all have that area.