Enter 2 values below
A rectangle has length of 3 and perimeter of 50
Calculate the width and area
Perimeter of a rectangle
P = 2(l x w)
Multiply the 2 through
P = 2l + 2w
Subtracting 2l from each side
P - 2l = 2w
Divide each side by 2
| P - 2l | |
| 2 |
| = |
| 2w |
| 2 |
| w = | P - 2l |
| 2 |
| w = | 50 - 2(3) |
| 2 |
| w = | 50 - 6 |
| 2 |
| w = | 44 |
| 2 |
w = 22>
Calculate Area (A):
A = l x w
where l = length and w = width
Plug in l = 3 and w = 22
A = 3 x 22
A = 66
Calculate diagonal length
Diagonal = √l2 + w2
where l = length and w = width
Plug in l = 3 and w = 22
Diagonal = √32 + 222
Diagonal = √9 + 484
Diagonal = √493
Diagonal = 22.203603311175
Calculate the circumradius R:
| R = | √l2 + w2 |
| 2 |
| R = | √32 + 222 |
| 2 |
| R = | √9 + 484 |
| 2 |
| R = | √493 |
| 2 |
| R = | 22.203603311175 |
| 2 |
R = 11.101801655587
| r = | 66 |
| 25 |
Calculate the inradius r:
| r = | lw |
| l + w |
| r = | (3)(22) |
| 3 + 22 |
| r = | 66 |
| 25 |
r = 2.64
Other Properties:
Faces = 1
Edges = 4
Vertices = 4
Final Answers
l = 3
P = 50
w = 22
A = 66
Diagonal = 22.203603311175
R = 11.101801655587
r = 2.64
Faces = 1
Edges = 4
Vertices = 4
P = 50
w = 22
A = 66
Diagonal = 22.203603311175
R = 11.101801655587
r = 2.64
Faces = 1
Edges = 4
Vertices = 4
Common Core State Standards In This Lesson
4.MD.A.3
What is the Answer?
l = 3
P = 50
w = 22
A = 66
Diagonal = 22.203603311175
R = 11.101801655587
r = 2.64
Faces = 1
Edges = 4
Vertices = 4
P = 50
w = 22
A = 66
Diagonal = 22.203603311175
R = 11.101801655587
r = 2.64
Faces = 1
Edges = 4
Vertices = 4
How does the Rectangles and Parallelograms Calculator work?
Free Rectangles and Parallelograms Calculator - Solve for Area, Perimeter, length, and width of a rectangle or parallelogram and also calculates the diagonal length as well as the circumradius and inradius.
This calculator has 4 inputs.
This calculator has 4 inputs.
What 2 formulas are used for the Rectangles and Parallelograms Calculator?
P=2l+2w
A=l*w
A=l*w
What 9 concepts are covered in the Rectangles and Parallelograms Calculator?
- area
- Number of square units covering the shape
- circumradius
- a radius of the circle inside which the polygon can be inscribed
- inradius
- a radius of an inscribed circle or sphere
- length
- the measurement or extent of something from end to end
- parallelogram
- simple quadrilateral with two pairs of parallel sides.
- perimeter
- The distance around a shape or object
- rectangle
- a quadrilateral with four right angles
- rectangles and parallelograms
- width
- the measurement or extent of something from side to side.
