Question

diagonal of square is 13 cm fiend its perimeter ​

Answer 1

Answer :

Perimeter of square is 36.686 cm.

Explanation :

We know that,

Diagonal of square = √2 × side

Also, it is given that diagonal of square = 13cm

•°• √2 × side = 13 cm

=> Side = 13/√2

=> Side = ( 13/√2 ) × (√2/√2)

=> Side = 13√2/2

we Also know that,

Perimeter of square = 4 × side

=> Perimeter of square = 4 × (13√2/2)

=> Perimeter of square = 2 × 13√2

=> Perimeter of square = 26√2

=> Perimeter of square = 26 × 1.414

=> Perimeter of square = 36.686 cm

Therefore, Perimeter of square is 36.686 cm.

Answer 2

Step-by-step explanation:

Given,

Diagonal of a square = 13 cm

To find:

Perimeter of the square

1st method:

Perimeter of a square = 2 √2d = 2 × √2 × 13 = 2×1.414×13 = 36.77 cm

2nd method:

Area of a square = 1/2 (d)² = 1/2 × 13² = 1/2 × 169 = 84.5 cm

Side of the square = √Area = √84.5 = 9.19 cm

Perimeter of the square = 4× Side = 4×9.19 = 36.77 cm.

Hence proved.

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Other formulas,

Area of a square = 4 × side

Area of the rectangle = Length×Breadth

Perimeter of the square = 4 × side

Perimeter of the rectangle = 2 (length+breadth).