Ruchi measured the area of her kitchen as 2.81 times 10 Superscript 4 square units. When she recorded the area, she wrote 2.81 times 10 Superscript 4 square feet. Which statement about her labeling of the units is true?

She is correct because dimensions of rooms must always be measured in feet and area would be square feet.
She is correct because 2.81 times 10 Superscript 4 ftSquared is equivalent to 2, 810 ftSquared, which is an average size for a kitchen since area is always so much more than length.
She is incorrect because 2.81 times 10 Superscript 4 is around 30,000 so the units must be smaller than feet. She most likely measured in inches.
She is incorrect because 2.81 is a small number. She probably measured in yards to arrive at such a small value.

1 answer

The correct statement about Ruchi's labeling of the units is:

She is correct because dimensions of rooms must always be measured in feet and area would be square feet.

Since she correctly recorded the area as \(2.81 \times 10^4\) square feet, which is 28,100 square feet, this area is a reasonable size for a kitchen. Therefore, her labeling is appropriate and consistent with standard measurement conventions for room dimensions.