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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?

User Maersu
by
8.4k points

1 Answer

2 votes

Answer:

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.

User Perneel
by
7.4k points
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