Question

The perimeter of asquare is 36 m finr the length of diagonal.

Answer 1

Question

The perimeter of asquare is 36 m finr the length of diagonal.

Given

• perimeter of a square is 36cm

Find

• Length of diagonal ?

Solution

Let,

• the length of a square is x m

So,

• Area of square = 4a = 36cm

→ 4a = 36

→ a = 36/4

→ a = 9cm

$\sf$

Now,

• Diagonal of square is √2a

→ √2a

→ √2×9

→ 9 √2

→ 9 × 1.41

→ 12.72 cm

Hence

• The length of the diagonal is 9√2 or 12.72 cm