The length of a rectangle envelope is 2 1/2 times its width. a plastic band surrounds the front and back of the envelope to secure it as shown in the picture. the plastic band is 39 3/8 inches long. find the length and width of the envelope.

Answer:

Length of the envelope = 14

Width of the envelope = 5.6

Step-by-step explanation:

Let the width of the rectangle be  x

Then the length of the rectangle will be

Also the length of the plastic band to cover the  front and back of the envolpe =  

To cover one side th band required is

=>

=>

=>

=>

=>39.4

We know that the perimeter of the rectangle is

=> 2( L + B) =

=> 2( ) = 19.7

=> 2(

=>  

=>

=>  

Now length of the envelope =

=>  

=>  

=> 14