Question

A rectangle has a perimeter of p centimeters. Its width is b centimeters. Its length is double its width. Express p in terms of b.

Answer 1

`p=6b`

Explanation:

Let

x-----> the length of the rectangle

y----> the width of the rectangle

we know that

The perimeter of rectangle is equal to

`P=2(x+y)`

`P=p\ cm`

so

`p=2(x+y)` -----> equation A

`y=b\ cm` ----> given problem

`x=2y` ------->
`x=2b\ cm`

substitute the value of x and the value of y in the equation A

`p=2(2b+b)`

`p=2(3b)`

`p=6b`