Question

if the length of a diagonal of a square is 6 root 2 cm find its perimeter and area

Answer 1

Diagonal of square
= side × root 2

so. 6 root 2 = side × root 2
so side = 6

so PERIMETER
= 4 × 6
= 24 cm

and area = 6×6= 36 cm2

Answer 2

Answer:

Perimeter and area of square are $24$ cm and $36\ cm ^{2}$ respectively .

Step-by-step explanation:

To find :  perimeter and area of square .

Given : length of a diagonal of a square is 6 root 2 cm i.e. $d = 6\sqrt{2}$ cm .  

Solution :

• As per given data we know that , length of a diagonal of a square is

        $6\sqrt{2}$ cm . We have to find  perimeter and area of square  .

• Let , $a$ be the side of square .

• We know that , diagonal = side of square $\sqrt{2}$

        i.e. $d = a \sqrt{2}$

• Now we have , $a\sqrt{2} = 6\sqrt{2}$
• Hence , side of square is $a = 6$ cm  .
• Now , area of square = $(side )^{2}$

                                            $= ( 6 )^{2} \\\\= 36\ cm ^{2}$

• We know that all sides of square are equal then perimeter of square is given by :  
• Perimeter = $4a$

                         $= 4 ( 6 )\\\\= 24\ cm$