Solution:
Given that;
In a rectangle, the ratio of the width to the length is 4:5,
Where l is the length and w is the width of the rectangle
[tex]w:l=4:5[/tex]If the rectangle is 40 centimeters long, i.e.
[tex]l=40\text{ cm}[/tex]The width, w, will be
[tex]\begin{gathered} w:40=4:5 \\ \frac{w}{40}=\frac{4}{5} \\ Crossmultiply \\ 5w=40\times4 \\ Divide\text{ both sides by 5} \\ \frac{5w}{5}=\frac{160}{5} \\ w=32\text{ cm} \end{gathered}[/tex]Hence, the width is 32 cm (option A)
