Given a square with perimeter (P) of 10

Calculate the side and Area and Diagonal.

Calculate side (s):

P = 4s

Divide each side by 4

P
4
=
  
4s
4

s  =  P
  4

s = 2.5

Calculate Area (A):

A = s2

A = 2.52

A = 6.25

Calculate the Diagonal (d)

d = √2s

d = √2(2.5)

d = 1.4142135623731 x 2.5

d = 3.5355339059327

Other Properties:

Sides = 4

Faces = 1

Edges = 4

Vertices = 4

Final Answers


P = 10
s = 2.5
A = 6.25
d = 3.5355339059327
Sides = 4
Faces = 1
Edges = 4
Vertices = 4


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Common Core State Standards In This Lesson
3.MD.C.5.A
What is the Answer?
P = 10
s = 2.5
A = 6.25
d = 3.5355339059327
Sides = 4
Faces = 1
Edges = 4
Vertices = 4
How does the Squares Calculator work?
Free Squares Calculator - Solve for Area of a square, Perimeter of a square, side of a square, diagonal of a square.
This calculator has 1 input.
What 3 formulas are used for the Squares Calculator?
Area (A) = s^2
Perimeter (P) = 4s
Diagonal (d) = s√2
What 6 concepts are covered in the Squares Calculator?
area
Number of square units covering the shape
diagonal
line segment that goes from one corner to another, but is not an edge
perimeter
The distance around a shape or object
side
line segment joining two vertices in a polygon also known as an edge
square
a plane figure (regular quadrilateral) with four equal straight sides and four right angles
squares
Example calculations for the Squares Calculator
Squares Calculator Video

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