Question

*Find the perimeter of a square whose diagonal is 10 cm.*
1️⃣ 40√ 2
2️⃣ 5√ 2
3️⃣ 20√ 2
4️⃣ 20​

Answer 1

Answer:

Perimeter of square=4a

=4×5√ 2

=20 √ 2

Therefore perimeter of the square is 20 √ 2

Step-by-step explanation:

Option 3 is correct

Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

Find the perimeter of a square whose diagonal is 10 cm.

1️⃣ 40√2

2️⃣ 5√2

3️⃣ 20√2

4️⃣ 20

EVALUATION

Let side of the square = x cm

The length of the diagonal = x√2 cm

So by the given condition

x√2 = 10

⇒ x√2 = 5 × 2

⇒ x√2 = 5 × √2 × √2

⇒ x = 5√2

Hence the required perimeter

= 4x cm

= 4 × 5√2 cm

= 20√2 cm

FINAL ANSWER

Hence the correct option is 3️⃣ 20√2

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