Given:
The length of a TV is [tex]\frac{16}{9}[/tex] times the width.
Length of the new TV = 32 inches.
To find:
The width of the new TV.
Solution:
Let x be the width of the new TV.
It is given that, the length of a TV is [tex]\frac{16}{9}[/tex] times the width.
[tex]Length=\dfrac{16}{9}x[/tex]
Length of the new TV = 32 inches.
[tex]32=\dfrac{16}{9}x[/tex]
[tex]32\times \dfrac{9}{16}=\dfrac{16}{9}x\times \dfrac{9}{16}[/tex]
[tex]18=x[/tex]
Therefore, the width of the new TV is 32 inches.