Correct Answer: 4200 cm ²

Solution : Given: Four circles of equal radii are described around the four corners of a square so that each touches two of the other circles. Each side of the squares is 140 cm.

Each side of the square ($a$) = 140 cm
The radius of the circles ($r$) = 70 cm
The area of the enclosed space = (Area of the square) – (Area of 4 quadrants i.e. the area of a circle)
So, the area of the enclosed space
= $a^2 - \pi r^2$
= $140^2-(\frac{22}{7}×70×70)$
= $19600 – 15400$
= 4200 cm ²
Hence, the correct answer is 4200 cm ² .