(1) L = 7W + 3
(2) 2L + 2W = 54
Substituting (1) in (2) ...
2(7W+3) + 2W = 54
14W + 6 + 2W = 54
16W = 48
W = 3
L = 7x3 + 3 = 24
So, length is 24 and width is 3
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.
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.
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.
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.
No, not all rectangles have even perimeters. The perimeter of a rectangle is calculated using the formula ( P = 2(length + width) ). If either the length or width is an odd number, their sum can be odd, resulting in an odd perimeter when multiplied by 2. Therefore, a rectangle can have an odd perimeter if one or both dimensions are odd.
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.
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.
No rectangle can have equal perimeter and length.
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.
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.
No, not all rectangles have even perimeters. The perimeter of a rectangle is calculated using the formula ( P = 2(length + width) ). If either the length or width is an odd number, their sum can be odd, resulting in an odd perimeter when multiplied by 2. Therefore, a rectangle can have an odd perimeter if one or both dimensions are odd.
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.
A rectangle has two dimensions - length and width. Only if both dimensions are doubled, then the perimeter will be doubled.
You forgot to put in the length of the rectangle's perimeter.
a rectangle has a perimeter of 72m. If the length is 20 m longer than the width find its dimensions?
the perimeter of a rectangle is 700 yards. what are the dimensions of the rectangle if the lenght is 80 yards more than the width?
To determine the perimeter of a rectangle, we need both the length and width. The area of the rectangle is given as 20 cm², but without the specific dimensions, we cannot calculate the perimeter directly. For example, if the rectangle has a length of 5 cm and a width of 4 cm, the perimeter would be 2(5 + 4) = 18 cm. Thus, the perimeter varies depending on the rectangle's dimensions.