1.
Not drawn accurately
Rectangles $A B C D$ and $E F G H$ are similar.
\[
\begin{array}{l}
A B=3 \mathrm{~cm} \\
B C=7 \mathrm{~cm} \\
E F=9 \mathrm{~cm}
\end{array}
\]
Work out the length of FG.

Answer

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Answer

$\boxed{FG = 21 \text{ cm}}$

Steps

Step 1 ：Given that rectangles ABCD and EFGH are similar, we can set up a proportion to find the length of FG: $\frac{AB}{EF} = \frac{BC}{FG}$

Step 2 ：Substitute the given values: $\frac{3}{9} = \frac{7}{FG}$

Step 3 ：Solve for FG: $FG = \frac{7 \times 9}{3}$

Step 4 ：Calculate the value: $FG = 21$

Step 5 ：$\boxed{FG = 21 \text{ cm}}$