The perimeter of a square is 88 cm, and the circumference of a circle is also 88 cm. Find the ratio of the area of the square to the area of the circle. Take π = 22/7.

The square's side = 88/4 = 22 cm, so its area = $484{\text{cm}}^2$. For the circle, $2\times (22/7)\times r=88$ gives $r=14$ cm and area = $(22/7)\times 196=616{\text{cm}}^2$. Ratio = 484 : 616 = 11 : 14 (divide both by 44). For a boundary of fixed length the circle always encloses more, so the square must carry the smaller number — 14 : 11 has them the wrong way round.