Question

A rectangular piece of land has an area of 3/4 square mile. The land is 2 1/2 miles long. What is its width

Answer 1

Given:

A rectangular piece of land has an area of
`(3)/(4)` square mile.

The land is
`2(1)/(2)` miles long.

To find:

The width of the rectangular land.

Solution:

We have,

Area of a rectangle =
`(3)/(4)` square mile.

Length =
`2(1)/(2)` miles

We know that, area of a rectangle is

`A=l* b`

`(3)/(4)=2(1)/(2)* b`

`(3)/(4)=(2(2)+1)/(2)b`

`(3)/(4)=(5)/(2)b`

Multiply both sides by
`(2)/(5)`, we get

`(2)/(5)* (3)/(4)=(2)/(5)* (5)/(2)b`

`(6)/(20)=b`

`(3)/(10)=b`

Therefore, the width of the land is
`(3)/(10)` miles.