## Enter 2 values below

<-- Length
<-- Width
<-- Area
<-- Perimeter

A rectangle has length of 52 and perimeter of 162

Calculate the width and area

P = 2(l x w)

P = 2l + 2w

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  = 59.5399 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

l = 52
P = 162
w = 29
A = 1508
Diagonal = 59.539902586417
R = 29.769951293208
r = 18.617283950617
Faces = 1
Edges = 4
Vertices = 4

##### 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
##### 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.

### What 2 formulas are used for the Rectangles and Parallelograms Calculator?

P=2l+2w
A=l*w

For more math formulas, check out our Formula Dossier

### What 9 concepts are covered in the Rectangles and Parallelograms Calculator?

area
Number of square units covering the shape
a radius of the circle inside which the polygon can be inscribed
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.