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A rectangular pane of glass is 91.1 cm wide and 155.9 cm long, and its area is equal to the length multiplied by the width. Using the correct number of significant figures, what is the area of the glass?14,200 cm^214,202 cm^214,202.5 cm^214,202.49 cm^2

User Lassej
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1 Answer

1 vote

Answer:

14,200 cm^2

Step-by-step explanation:

When multiplying two numbers with different significant figures, the significant figures of the product carries the significant of figures of the number with the least significant figures.

Therefore, in finding the area, we have to multiply 91.1 ( 3 significant figures) by 155. 1 (4 significant figures). This tells us that our product will have 3 significant figures.

Now,


155.9\operatorname{cm}*91.1\operatorname{cm}=14202.49\operatorname{cm}^2

rounding to the three significant figures gives


14200\operatorname{cm}^2

Hence, the area of the rectangle is 14200 square centimetres.

User Akxlr
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