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Mathematics 9 Online
OpenStudy (anonymous):

)A scale drawing of a living room is shown below: attached file below. What is the area of the actual living room in square feet? Round your answer to the nearest whole number. 17 ft2 41 ft2 495 ft2 103 ft2

OpenStudy (anonymous):

OpenStudy (danjs):

the scale is 1 to 30 each inch on the drawing goes to 30 inches in real life

OpenStudy (danjs):

so change over the lengths to the real world values, by multiplying them by 30 , then you can get the area

OpenStudy (anonymous):

okay, so I multiply?

OpenStudy (danjs):

Just noticed, you need to change them to feet, they want square feet...

OpenStudy (danjs):

yeah the scale 1 to 30, 5.5 inch goes to 5.5*30 inch , same for other dimension

OpenStudy (anonymous):

okay I got 165 and 90

OpenStudy (danjs):

right, so the living room is 165 x 90 inches, i would change those both to ft before multiplying them together for the area

OpenStudy (danjs):

dimensions in feet 165/12 ft x 90/12 ft

OpenStudy (danjs):

The area is Length times width for the room \[A = \frac{ 165 }{ 12 }*\frac{ 90 }{ 12 } = \frac{ 14850 }{ 144 } ft^2\]

OpenStudy (danjs):

you can reduce the fractions before multiplying them to not have huge numbers, but tha tis the answer

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