Question

A rule for finding the approximate length of diagonal of a square is to multiply the length of a side of the square by 1.414. Find the length of the diagonal when :

(a) The length of a side of the square is 8.3 cm.

(b) The length of a side of the square is exactly 7.875 cm.

Answer 1

(a) Length of a side of the square = 83 cm

∴ Length of the diagonal of the square

= 1.414 × 8.3 cm = 11.7362 cm

≈ 11.74 cm

(b) Length of a side of the square = 7.875 cm

Length of the diagonal of the square

= 1.414 × 7.875 cm

= 11.13525 cm

≈ 11.14 cm