2l+2w
No, two rectangles do not have to be congruent if they have the same perimeter. Rectangles can have the same perimeter while differing in their length and width. For example, a rectangle with dimensions 4x6 has the same perimeter (20 units) as a rectangle with dimensions 5x5, but they are not congruent since their shapes and sizes differ.
To find missing dimensions of rectangles when only the width is provided, you typically need additional information, such as the area or the perimeter of the rectangle. If you know the area, you can divide it by the width to find the length. If you have the perimeter, you can use the formula ( P = 2(\text{length} + \text{width}) ) to solve for the length. Without additional information, you cannot determine the missing dimensions.
4 x 4 and 6 x 3
It is a 3 x 15 rectangle !
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.
Rectangles with an area of 16 can have various dimensions, including pairs of length and width such as (1, 16), (2, 8), and (4, 4). The perimeter of these rectangles varies depending on the dimensions chosen; for instance, the perimeter is minimized at 16 when the rectangle is a square (4x4). Additionally, as the dimensions become more unequal, the perimeter increases, illustrating the relationship between shape and efficiency in area coverage.
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.
You can't tell the dimensions from the perimeter. There are an infinite number of rectangles, with different dimensions, that all have the same perimeter. If it's 168, then the only thing you can be sure of is that the length and width add up to 84, but you can't tell what either of those dimensions must be.
perimeter = 2 (b+h) = 20 there are an infinite number of rectangles that meet the requirement
Yes, two different rectangles can have the same area and perimeter. For example, a rectangle with dimensions 2 units by 6 units has an area of 12 square units and a perimeter of 16 units. Another rectangle with dimensions 3 units by 4 units also has an area of 12 square units and a perimeter of 14 units. Thus, while they have the same area, their perimeters differ, illustrating that different rectangles can share area and perimeter values under certain conditions.
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
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.