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.

Question

asked Jan 3, 2020 34.5k views

1 Answer

Jeem · Answer 1 · 2020-01-08T09:27:12+0000

Answer:

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