Given:
Height of small rectangle = 6
Width of small rectangle = 2
Height of large rectangle = x
Width of large rectangle = 4
To find:
The missing side x.
Solution:
The corresponding sides of triangles are in the same ratio.
[tex]$\frac{\text{ One side of large rectangle}}{\text{Corresponding side of small rectangle}}= \frac{\text{Other side of large rectangle}}{\text{Corresponding side of small rectangle}}[/tex]
[tex]$\Rightarrow \frac{x}{6} =\frac{4}{2}[/tex]
Multiply by 6 on both sides.
[tex]$\Rightarrow \frac{x}{6} \times 6=\frac{4}{2}\times 6[/tex]
[tex]$\Rightarrow x=2 \times 6[/tex]
[tex]$\Rightarrow x=12[/tex]
The missing side is 12.
