Answer:
4.95%
Step-by-step explanation:
Given: Dimension of room used for office= [tex]8\frac{1}{2} \times 12\frac{1}{4}[/tex]
Area of entire home= 2100 feet²
Considering the room is in rectangular in shape.
Now, finding the area of room.
first converting the mixed fraction length to improper fraction.
Dimension= [tex]\frac{8\times 2+1}{2} \times \frac{12\times 4+1}{4}[/tex]
∴ Dimension= [tex]\frac{17}{2} \times \frac{49}{4}[/tex]
Area of rectangle= [tex]Length\times width[/tex]
∴ Area of rectangle= [tex]\frac{17}{2} \times \frac{49}{4}[/tex]
⇒ Area of rectangle= [tex]8.5\times 12.25= 104.125\ feet^{2}[/tex]
Hence area of room used for office is 104.125 feet²
Next, finding the percentage of Kelly´s home is taken up by office.
Percentage of office= [tex]\frac{area\ of\ office}{area\ of\ entire\ home} \times 100[/tex]
⇒ Percentage of office= [tex]\frac{104.125}{2100} \times 100[/tex]
∴ Percentage of office from entire home= [tex]4.95\%[/tex]
Hence, 4.95% of Kelly´s home is taken up by her office.
