Question

kelly runs a business from her home.For tax purposes, she needs to determine the percentage of her home devoted to her business. The room uses for her office measures 8 1/2feet by 12 1/4 feet, and her entire home covers 2,100 square feet. Approximately what percentage of her home is taken up by her office?

Answer 1

4.95%

Explanation:

Given: Dimension of room used for office=
`8(1)/(2) * 12(1)/(4)`

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=
`(8* 2+1)/(2) * (12* 4+1)/(4)`

∴ Dimension=
`(17)/(2) * (49)/(4)`

Area of rectangle=
`Length* width`

∴ Area of rectangle=
`(17)/(2) * (49)/(4)`

⇒ Area of rectangle=
`8.5* 12.25= 104.125\ feet^(2)`

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=
`(area\ of\ office)/(area\ of\ entire\ home) * 100`

⇒ Percentage of office=
`(104.125)/(2100) * 100`

∴ Percentage of office from entire home=
`4.95\%`

Hence, 4.95% of Kelly´s home is taken up by her office.