Question

*If diagonal of a square is of length 10√2 cm then the perimeter of square is ...............cm.*

1️⃣ 40
2️⃣ 10
3️⃣ 30
4️⃣ 50​

Answer 1

Answer: 1️⃣ 40

Step-by-step explanation:

x - is the side of the square

$x^{2} +x^{2} =(10\sqrt{2})^{2} \\2x^{2}} =200\\2x^{2} \div 2=200 \div 2 \\x^{2} =100\\x=\sqrt{100} \\x=10 \: [cm] - side \: of \: a \: square$

Find the perimeter of the square.

Perimeter of the square = 4 × 10 cm = 40 cm