Question

a wire is bent into the shape of a square, each side is 5 in long. then the wire is now bent to the shape of a rectangle if the length of the rectangle is 6 in what is the width?

Answer 1

Width of the rectangle=
`4\,inches`

Explanation:

The wire is bent from square to rectangle shape:

Therefore, Perimeter of the square= Perimeter of the rectangle

Perimeter of the square with side = 5 inch

Perimeter of a square =
`4* Side`

`=4* 5\\\\=20\,inches`

Perimeter of the rectangle is also:
`20\,inches`

Perimeter of a rectangle :

`2(Length+Width)`

For,
`Length=6\,inch`

`Width=?`

`20=2(6+Width)\\\\(20)/(2) =6+Width\\\\10=6+Width\\\\Width=10-6\\\\Width=4 \,inches`

The width of the rectangle is :
`4\,inches`