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Will a rectangle with a greater perimeter also have a greater areea?
Yes.
Can a rectangle have a greater perimeter and also have a greater area?
Of course, a rectangle can have a greater perimeter and a greater area. Simply double all the sides: the perimeter is doubled and the area is quadrupled - both bigger than they were.
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 two rectangles have the same area do they also have to have the same perimeter?
Not necessarily. Let's say that there is a circle with the area of 10. Now there is a star with the area of 10. They do not have the same perimeter, do they? That still applies with rectangles. There might be a very long skinny rectangle and a square next to each other with the same area, but that does not mean that they have the same perimeter. Now if the rectangles are congruent then yes.
If two rectangles have the same area must they have the same perimeter?
No, two rectangles with the same area do not necessarily have the same perimeter. For example, a rectangle with dimensions 2 x 6 has an area of 12 and a perimeter of 16, while a rectangle with dimensions 3 x 4 also has an area of 12 but a perimeter of 14. Thus, different combinations of length and width can yield the same area but different perimeters.
Do these rectangles have the same perimeter- 12 meters x4 and 13 meters x3meters?
Perimeter is 2(length + width) 2(12+4) is 32 2(13+3) is also 32, so yes
Can 2 rectangles with the same area have different perimeters?
Yes, two rectangles can have the same area but different perimeters. The area of a rectangle is calculated by multiplying its length and width, while the perimeter is calculated by adding twice the length and twice the width. For example, a rectangle with dimensions 2x6 has an area of 12 and a perimeter of 16, while a rectangle with dimensions 3x4 also has an area of 12 but a perimeter of 14.
Do all rectangles with the same area have the same perimeter?
No, rectangles with the same area do not necessarily have the same perimeter. The perimeter of a rectangle depends on both its length and width, while the area is simply the product of these two dimensions. For instance, a rectangle measuring 2 units by 6 units has an area of 12 square units and a perimeter of 16 units, while a rectangle measuring 3 units by 4 units also has an area of 12 square units but a perimeter of 14 units. Thus, different length and width combinations can yield the same area but different perimeters.
Are all rectangles with the perimiter of 20 feet equal the same area?
No. For example, a 1 ft by 9 ft rectangle (2 sides of length 1 and 2 sides of length 9) has perimeter 20 ft and an area of 9 square feet. But a 4 ft by 6 ft rectangle also has a perimeter of 20 feet, but an area of 24 square feet. These two rectangles both have the same perimeter of 20 feet but different areas.
Can a rectangle have a smaller perimeter and also a greater area?
Yes. For instance, the rectangle measuring 1 by 10 has a perimeter of 22 and an area of 10, whereas the rectangle measuring 4 by 4 has a perimeter of 16 and an area of 16.
What has the greater perimeter a square with side eight units or rectangle with length 14 units and width two units?
They will be both the same because the perimeter of the square is 32 units and the perimeter of the rectangle is also 32 units
Why are some rectangles squares?
All squares are rectangles also, but not all rectangles are squares, only equilateral rectangles are considered square.
