Question

Select all quantities that are proportional to the diagonal length of a square.

Answer 1

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 $n^{2}$
• Perimeter of a square is 4×n
• diagonal length of a square is $\sqrt{2}$ × n

Thus,

Perimeter of square can be expressed as

$2\sqrt{2}$×diagonal length of a square

Side length of a square can be expressed as

$\frac{1}{\sqrt{2} }$×diagonal length of a square

but Area of square is

$\frac{1}{\sqrt{2} }$×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