7,665 views
3 votes
3 votes
Ruchi measured the area of her kitchen as 201x10 square units. When she recorded the area, she wroto 201 x 10square feet which statement about her labeling of the units is true?A)She is correct because dimensions of rooms must always be measured in feet and area would be square feetB)She is correct because 2.81x10^4 ft^2 is equivalent to 2,810, which is an average size for a kitchen since area isalways so much more than length.C)She is incorrect because 2.81 x 10^4is around 30,000 so the units must be smaller than feet. She most likelymeasured in inchesD)She is incorrect because 2.81 is a small number. She probably measured in yards to arrive at such a small value.

User BeWarned
by
2.8k points

1 Answer

19 votes
19 votes

Problem

Ruchi measured the area of her kitchen as 2.81x10^4 square units. When she recorded the area, she wroto 2.81 x 10^4 square feet which statement about her labeling of the units is true?

Solution

We need to identify the correct statement

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

False the dimensions can be expressed in any units and not always in feet



B)She is correct because 2.81x10^4 ft^2 is equivalent to 2,810, which is an average size for a kitchen since area is always so much more than length.

False we can have any kitchen with with a higher value inthe width respect to the lenght



C)She is incorrect because 2.81 x 10^4is around 30,000 so the units must be smaller than feet. She most likely measured in inches

Correct for this case we can conclude that the area cannot be just 2.81x10^4 since usually we express this value in integers without decimals

D)She is incorrect because 2.81 is a small number. She probably measured in yards to arrive at such a small value.

False we don't have anough info to conclude that 2.82 is a small number for this case



User JTew
by
3.5k points