The area of a square is 144 cm$^2$. What is the perimeter of the square formed with the diagonal of the original square as its side?
Answer & explanation
Correct answer: option 1
We know ,
Area of square = ( Side )²
144 = ( Side )²
Side = 12
Diagonal of square = √2 × Side = √2 × 12 = 12√2 cm
Side of new square = Diagonal of old square
Side of new square = 12√2
Perimeter of new square = 4 × Side of new square
= 4 × 12√2
= 48√2 cm