Sofia wants to place a sticker 2 1/2 inches long in the center of a switch box that 3 3/4 inches wide about how far from the edge of the switch board will you place the sticker

Respuesta :

You will place the sticker [tex]\frac{5}{8}[/tex] inches from the edge of the switch board

Step-by-step explanation:

Given data:

Sticker’s length =  [tex]2 \frac{1}{2}[/tex]

Breadth of switch box = [tex]3 \frac{3}{4}[/tex]

Subtracting the above value, we get

    [tex]\text { Switch Box's total area }=3 \frac{3}{4}-2 \frac{1}{2}=\frac{15}{4}-\frac{5}{2}=\frac{15-10}{4}=\frac{5}{4}[/tex]

Divided [tex]\frac{5}{4}[/tex] by 2 gives you the distance from the edge if you put the sticker in the centre). Therefore,

    [tex]\frac{\left(\frac{5}{4}\right)}{\left(\frac{2}{2}\right)}=\frac{5}{8}[/tex]

So, will place the sticker [tex]\frac{5}{8}[/tex] inches far from the edge of the switch board.