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

Question

asked Aug 19, 2020 15.6k views

1 Answer

Carmichael · Answer 1 · 2020-08-24T02:31:52+0000

Answer:

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
$(1)/(3)\ mile$ .