Kenny wants to place a picture frame in the center of a wall that is 17 3/4 feet wide. The picture is 2 3/4 feet wide. How many feet from each side of the wall must the frame be so that it is centered?

Respuesta :

Answer:

The distance of frame from each side of the wall so that it is at centered is 7.5 feet

Step-by-step explanation:

Given as :

The measure of the wall = 17[tex]\dfrac{3}{4}[/tex] feet

i.e The measure of the wall =[tex]\dfrac{71}{4}[/tex] feet

The measure of the picture = 2[tex]\dfrac{3}{4}[/tex] feet

i.e The measure of the picture =[tex]\dfrac{11}{4}[/tex] feet

Let The distance from each side of wall so that frame at centered = x feet

Now, According to question

x = The measure of the wall - measure of the picture

Or, x = [tex]\dfrac{71}{4}[/tex] feet - [tex]\dfrac{11}{4}[/tex] feet

Or, x = [tex]\dfrac{71 - 11}{4}[/tex] feet

Or, x = [tex]\dfrac{60}{4}[/tex] feet

∴ x = 15 feet

Now, For each side so that frame st centered = [tex]\dfrac{15}{2}[/tex] feet

Or,  For each side so that frame st centered = 7.5 feet

Hence,The distance of frame from each side of the wall so that it is at centered is 7.5 feet Answer