Answer:
The following statement is true:
She is incorrect because 2.81 times 10^4 is around 30,000 so the units must be smaller than feet. She most likely measured in inches.
Step-by-step explanation:
Area of the kitchen measured = 2.81 · 10⁴ = 28100
Lets evaluate all the statements
<h3>1) She is correct because dimensions of rooms must always be measured in feet and area would be square feet.</h3>
This statement is WRONG because if the dimension were measured in feet, the total area of the kitchen would be 28100 ft², which is too large of a kitchen. 28100 ft² can easily fit 10 medium sized full house of 2800 ft² or even a big building.
<h3>2) She is correct because 2.81 times 10^4 ft squared is equivalent to 2, 810 ft squared, which is an average size for a kitchen since area is always so much more than length</h3>
This statement is wrong because 2.81 ft· 10⁴ft = 28100 ft² NOT 2810 ft².
28100 ft² cannot be the size of the kitchen as discussed before.
<h3 /><h3>3) She is incorrect because 2.81 times 10^4 is around 30,000 so the units must be smaller than feet. She most likely measured in inches.</h3>
The statement is CORRECT because 2.81 in· 10⁴in = 28100 in² ≅ 30000 in² = 208 ft² , which can easily be the size of a kitchen.
<h3 /><h3>4) She is incorrect because 2.81 is a small number. She probably measured in yards to arrive at such a small value.</h3>
The number she calculated was not 2.81, it was 2.81 · 10⁴, which in yards become a very large value for a kitchen