Question

If the length of one of the diagonals of a square is p units, then what
is the perimeter of the square?​

Answer 1

UR ANSWER:-

The length of one diagonal/side of the square

is p unit.

Perimeter of square =》 4 ×sides

=》4×p = 4p.

Hence, Perimeter = 4p.

Answer 2

Answer:

Answer is 4p/√2.

Step-by-step explanation:

SOLUTION

Given,

AC is diagonal, AC is also p unit.

AB = BC = CD = DA = a units.

Find,

the perimeter of square.

SO,

We have to use Pythagoras Theorem.

=> AC² = AB² + BC²

=> p² = a² + a²

=> p = √2a

=> a = p/√2

Now,

We have to multiply with 4 as square has four sides.

=> Perimeter = 4 × AB

=> Perimeter = 4a

=> Perimeter = 4p/√2 (Given, a = p/√2)

Hence,

Perimeter of square is 4p/√2