A sheet of paper is 8 1/2 inches wide and 11 inches long. the sheet is printed with a margin 1 1/4 inches wide on all four sides. find the perimeter of the printed part of the page

Respuesta :

The perimeter of the printed part of the page is 29 inches.

Explanation

Length of the sheet of paper is 11 inches and width is [tex]8\frac{1}{2}[/tex] or [tex]\frac{17}{2}[/tex] inches.

Width of the margin is [tex]1\frac{1}{4}[/tex] or [tex]\frac{5}{4}[/tex] inches.

As the margin is on all sides of the paper, that means both across the length and width of the paper we need to leave [tex]\frac{5}{4}[/tex] inches for that margin.

So, the length of the printed part [tex]=11-(2*\frac{5}{4})= 11- \frac{5}{2} =\frac{17}{2}[/tex] inches

and the width of the printed part [tex]= \frac{17}{2}-(2*\frac{5}{4})= \frac{17}{2}-\frac{5}{2}= \frac{12}{2}=6[/tex] inches.

Thus the perimeter of the printed part of the page will be: [tex]2(\frac{17}{2} +6)= 2(\frac{29}{2})= 29[/tex] inches.

Ver imagen Sicista

Answer:

Step-by-step explanation:

Given:

Dimensions of the paper:

Length, l = 11 in

Width, b = 8 × 1/2 in

= 17/2 in

Printed paper dimensions:

Length, lp = length, l - margin

= 11 - 1 × 1/4

= 39/4 in

Width, bp = width, w - margin

= 17/2 - 1 × 1/4

= 29/4 in

Perimeter of a rectangle, P = 2 × (lp × bp)

= 2 × (39/4 + 29/4)

= 68/2 in

= 34 in

Otras preguntas