Question

Sreve buikt a square hamster pen that has a perimeter of 240 centimeters. What is the length of one side of Steve's hamster pen?

Answer 1

Given :

• Perimeter of the Sreve buikt a square hamster pen = 240 cm

To find :

• The length of one side of Steve's hamster pen = ?

Step-by-step explanation:

Perimeter of the Sreve buikt a square hamster pen = 240 cm [Given]

We know that,

Perimeter of the square = 4 × side

Substituting the values in the above formula, we get,

64 = 4 × side

Or, 4 × side = 64

side = 64/4

side = 16

Thus, The length of one side of Steve's hamster pen = 16 cm.

The perimeter of a square

Definition. Sum of all sides of the square is called the perimeter of the square.

Perimeter of a square formulas

1. Formula of the square perimeter in terms of the square side:

P = 4 × side

2. Formula of the square perimeter in terms of the square area:

P = 4√side

3. Formula of the square perimeter in terms of the square diagonal:

P = 2 diagonal√2

4. Formula of the square perimeter in terms of the circumradius:

P = 4 Radius√2

5. Formula of the square perimeter in terms of the diameter of the circumcircle:

P = 2D_c√2. [D = Diameter, C = Circumference]

6. Formula of the square perimeter in terms of the inradius:

P = 8r

7. Formula of the square perimeter in terms of the diameter of the incircle:

P = 4D_i

8. Formula of the square perimeter in terms of the length of the segment l (Figure):

P = length × 8/√5

Full forms :

P = Perimeter

A = side

D = Diameter

C = Circumference

I = Incircle

R = Radius

Answer 2

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