contestada

Select all quantities that are proportional to the diagonal length of a square.
A. Area of a square
B. Perimeter of a square
C. Side length of a square​

Respuesta :

dogacandu

Answer:

B. Perimeter of a square and

C. Side length of a square​

Step-by-step explanation:

if n= side length of square then

  • Area of square is [tex]n^{2}[/tex]
  • Perimeter of a square is 4×n
  • diagonal length of a square is [tex]\sqrt{2}[/tex] × n

Thus,

Perimeter of square can be expressed as

[tex]2\sqrt{2}[/tex]×diagonal length of a square

Side length of a square can be expressed as

[tex]\frac{1}{\sqrt{2} }[/tex]×diagonal length of a square

but Area of square is

[tex]\frac{1}{\sqrt{2} }[/tex]×n×diagonal length of a square

As a Result,  Area of square is also dependent of the value n, wheras in other cases it is a proportion of diagonal length of a square

Otras preguntas