Question

The perimeter of a square, P , is directly proportional to the length of its side, l . Write down a formula, using k , connecting the perimeter of the square and the length of its side.

Answer 1

Answer:

perimeter = 4 times side

p = 4k

Answer 2

Answer:

A mathematical formula that connects the perimeter of the square(P) and the length of its side(l).

Step-by-step explanation:

Given,

The perimeter of a square, P, is directly proportional to the length of its side, l.

To find,

A mathematical formula that connects the perimeter of the square(P) and the length of its side(l).

Calculation,

The perimeter of a quadrilateral: It is the total length of the boundary of the quadrilateral. Now the perimeter of the quadrilateral depends on the side lengths of the quadrilateral.

Now according to the question:

the perimeter of the square is directly proportional to the side length.

i.e. P ∝ l

⇒ P = kl (When the proportionality symbol is removed we introduce a constant)

But we know that for a square its perimeter is given by:

P = 4l

Hence, the value of constant k = 4.

Therefore, a mathematical formula that connects the perimeter of the square(P) and the length of its side(l) is P = kl.

#SPJ3