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

Answer:

$p=6b$

Step-by-step 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

$p=2(2b+b)$

$p=2(3b)$

$p=6b$