yd² 에서 ft² 변환기 - 제곱야드 에서 제곱피트

Conversion derivation

Express both yd² and ft² in the same base unit m² (square meter), then cancel the shared base unit.

1. 1

   Rewrite yd² in the base unit

   $$1\mathrm{y}{\mathrm{d}}^2=0.836127{\mathrm{m}}^2$$
2. 2

   Rewrite ft² in the base unit

   $$1\mathrm{f}{\mathrm{t}}^2=0.092903{\mathrm{m}}^2$$
3. 3

   Forward conversion

   $$\begin{array}{rl}1\mathrm{y}{\mathrm{d}}^2& =\frac{0.836127\cancel{{\mathrm{m}}^2}}{0.092903\cancel{{\mathrm{m}}^2}}\times 1\mathrm{f}{\mathrm{t}}^2\\ & =\frac{0.836127}{0.092903}\mathrm{f}{\mathrm{t}}^2\\ & =9\mathrm{f}{\mathrm{t}}^2\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{f}{\mathrm{t}}^2& =\frac{0.092903\cancel{{\mathrm{m}}^2}}{0.836127\cancel{{\mathrm{m}}^2}}\times 1\mathrm{y}{\mathrm{d}}^2\\ & =\frac{0.092903}{0.836127}\mathrm{y}{\mathrm{d}}^2\\ & =0.111111111111\mathrm{y}{\mathrm{d}}^2\end{array}$$