Statement a: area of a rectangle with measured length = 2.536 m and width = 1.4 m.
statement b: area of a rectangle with measured length = 2.536 m and width = 1.41 m.
since you are not told specific numbers of significant figures to round to, you must use the rules for multiplying numbers while respecting significant figures. if you need a reminder, consult the hint.
determine the correct relationship between the statements.

Statement A is greater than Statement B

Explanation:

Statement A

The area A of a rectangle is a product of length and with hence

Taking l as 2.536 and b as 1.4 then

Since 1.4 is the least significant number in the product, with 1 decimal place, so we express our area also to 1 decimal place hence we obtain 3.6

Statement B

The area A of a rectangle is also a product of length and width hence

Substitute 2.536 for l and 1.41 for b

Here, the least significant figure within the product is 1.41 with 3 significant numbers or 2 decimal places so the answer also must be expressed to 3 significant figures which is 3.58

Now comparing 3.6 to 3.58, it's clear that 3.6 is greater than 3.58 so statement A is greater than statement B

Hence, Statement A is greater than Statement B

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