Question

How wide is a rectangular strip of land with the length of 2/5 mile and an area of 2/15 square miles?

Answer 1

The width of the rectangular strip is
`(1)/(3)\ mile`.

Explanation:

Given:

Length of the rectangular strip is,
`L=(2)/(5)\ mile`

Area of the strip is,
`A=(2)/(15)\ mi^2`

Let the width of the rectangular strip be 'w'.

We know that, the area of a rectangular figure is equal to the product of its length and width.

∴ Area of strip = Length × Width

⇒
`A=L* w`

`(2)/(15)=(2)/(5)* w\\\\w=(2)/(15)/ (2)/(5)\\\\w=(2)/(15)* (5)/(2)\\\\w=(5)/(15)=(1)/(3)\ mile`

Therefore, the width of the rectangular strip is
`(1)/(3)\ mile`.