Solving Significant Figures Problems - Area of a Parking Lot

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To find the area of a parking lot measuring 115 ft by 200 ft in square meters, the conversion from feet to meters is crucial. The correct conversion factor is 1 m = 3.281 ft, leading to dimensions of approximately 35.1 m and 61.0 m, not 70.0 m as initially calculated. The area is then calculated as A = (35.1 m)(61.0 m), resulting in approximately 2142.1 m², or 2.14 x 10³ m² in scientific notation. Attention to significant figures and round-off errors is essential for accurate results.
chocolatelover
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Hi everyone,

Can someone please help me with this problem?

The problem says:

A parking lot is 115 ft by 200 ft. Find the area in m2

My attempt:

1m=3.281 ft

So (115 ft)(1m/3.281ft)=35.1m

(200ft)(1m/3.281ft)=70.0m

A=(35.1m)(70.0m)
A=2457m2=2.46X10^3m^2

Thank you very much
 
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200/3.281 = 61.0, not 70.

Also watch out for round-off errors.
 
Thank you very much

Does 2.14 X 10^3 m^2 look right?
 
Yup:

http://www.google.com/search?q=(115+feet+*+200+feet)+in+meters^2
 
Thank you very much

Regards
 

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