Enter 2 values below
A rectangle has width of 4 and perimeter of 28
Calculate the length and area
Perimeter of a rectangle
P = 2(l x w)
Multiply the 2 through
P = 2l + 2w
Subtracting 2w from each side
P - 2w = 2l
Divide each side by 2
| P - 2w | |
| 2 |
| = |
| 2l |
| 2 |
| l = | P - 2w |
| 2 |
| l = | 28 - 2(4) |
| 2 |
| l = | 28 - 8 |
| 2 |
| l = | 20 |
| 2 |
l = 10
Calculate Area (A):
A = l x w
where l = length and w = width
Plug in l = 10 and w = 4
A = 10 x 4
A = 40
Calculate diagonal length
Diagonal = √l2 + w2
where l = length and w = width
Plug in l = 10 and w = 4
Diagonal = √102 + 42
Diagonal = √100 + 16
Diagonal = √116
Diagonal = 10.770329614269
Calculate the circumradius R:
| R = | √l2 + w2 |
| 2 |
| R = | √102 + 42 |
| 2 |
| R = | √100 + 16 |
| 2 |
| R = | √116 |
| 2 |
| R = | 10.770329614269 |
| 2 |
R = 5.3851648071345
| r = | 40 |
| 14 |
Calculate the inradius r:
| r = | lw |
| l + w |
| r = | (10)(4) |
| 10 + 4 |
| r = | 40 |
| 14 |
r = 2.8571428571429
Other Properties:
Faces = 1
Edges = 4
Vertices = 4
Final Answers
w = 4
P = 28
A = 40
Diagonal = 10.770329614269
R = 5.3851648071345
r = 2.8571428571429
Faces = 1
Edges = 4
Vertices = 4
P = 28
A = 40
Diagonal = 10.770329614269
R = 5.3851648071345
r = 2.8571428571429
Faces = 1
Edges = 4
Vertices = 4
