Question

1. In a rectangle, the ratio of the width to the length is 4:5. If the rectangle is 40centimeters long, find its width.A. 32cmB. 36cmC. 44cmD. 50cm

Answer 1

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

`w:l=4:5`

If the rectangle is 40 centimeters long, i.e.

`l=40\text{ cm}`

The width, w, will be

`\begin{gathered} w:40=4:5 \\ (w)/(40)=(4)/(5) \\ Crossmultiply \\ 5w=40*4 \\ Divide\text{ both sides by 5} \\ (5w)/(5)=(160)/(5) \\ w=32\text{ cm} \end{gathered}`

Hence, the width is 32 cm (option A)