contestada

the perimeter of a piece of paper is 19.5 inches. the length is 6 inches less than twice the width. what are the dimensions of the paper?

Respuesta :

Answer:

Length=4.5 inch

Width= 5.25 inch

Step-by-step explanation:

Let the width of the paper be 'W' and

Length of the paper be 'L'

Perimeter= 19.5 inches

According to the statement given:

[tex]Length=2*Width-6\\\\L=2W-6[/tex]

Perimeter of a rectangle :

                                       [tex]2(Length + Width)\\\\ 19.5 = 2(L+W)\\\\ 19.5 =2(2W-6+W)[/tex]

                                       [tex]19.5=2(3W-6)\\\\19.5=6W-12[/tex]

Adding '12' both side:

                                      [tex]19.5+12=6W\\\\31.5=6W\\\\W=31.5/6\\\\W=5.25 inches[/tex]

[tex]Length=2W-6=2(5.25)-6=10.5-6= 4.5 inch[/tex]

[tex]Length=4.5 inch\\Width= 5.25 inch[/tex]