Enter 2 values below
A rectangle has length of 52 and perimeter of 162
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 = | 162 - 2(52) |
| 2 |
| w = | 162 - 104 |
| 2 |
| w = | 58 |
| 2 |
w = 29>
Calculate Area (A):
A = l x w
where l = length and w = width
Plug in l = 52 and w = 29
A = 52 x 29
A = 1508
Calculate diagonal length
Diagonal = √l2 + w2
where l = length and w = width
Plug in l = 52 and w = 29
Diagonal = √522 + 292
Diagonal = √2704 + 841
Diagonal = √3545
Diagonal = 59.539902586417
Calculate the circumradius R:
| R = | √l2 + w2 |
| 2 |
| R = | √522 + 292 |
| 2 |
| R = | √2704 + 841 |
| 2 |
| R = | √3545 |
| 2 |
| R = | 59.539902586417 |
| 2 |
R = 29.769951293208
| r = | 1508 |
| 81 |
Calculate the inradius r:
| r = | lw |
| l + w |
| r = | (52)(29) |
| 52 + 29 |
| r = | 1508 |
| 81 |
r = 18.617283950617
Other Properties:
Faces = 1
Edges = 4
Vertices = 4
Final Answers
l = 52
P = 162
w = 29
A = 1508
Diagonal = 59.539902586417
R = 29.769951293208
r = 18.617283950617
Faces = 1
Edges = 4
Vertices = 4
P = 162
w = 29
A = 1508
Diagonal = 59.539902586417
R = 29.769951293208
r = 18.617283950617
Faces = 1
Edges = 4
Vertices = 4
Common Core State Standards In This Lesson
4.MD.A.3
What is the Answer?
l = 52
P = 162
w = 29
A = 1508
Diagonal = 59.539902586417
R = 29.769951293208
r = 18.617283950617
Faces = 1
Edges = 4
Vertices = 4
P = 162
w = 29
A = 1508
Diagonal = 59.539902586417
R = 29.769951293208
r = 18.617283950617
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.
