How are the units (i) square yard (ii) hectare (iii) km² (iv) cm² (v) mm² related to the S.I. unit of area?

S.I. unit of area is m²

(i) 1 square yard = 1 yard × 1 yard = 0.9144 m × 0.9144 m = 0.836 m²

(ii) 1 hectare = 100 m × 100 m = 10000 m² = 10⁴ m²

(iii) 1 km² = 1 km × 1 km = 1000 m × 1000 m = 10⁶ m²

(iv) 1 cm² = 1 cm × 1 cm = $\left (\dfrac{1}{100}\ \text m\right)\times \left ({\dfrac{1}{100}\ \text m}\right)= \dfrac{1}{10000}\ \text m^2 = 10^{-4}\ \text m^2$

(v) 1 mm² = 1 mm × 1 mm = $\left (\dfrac{1}{1000}\ \text m\right)\times \left ({\dfrac{1}{1000}\ \text m}\right)= \dfrac{1}{1000000}\ \text m^2 = 10^{-6}\ \text m^2$