OG: The sides of a square region, measured to the nearest centimeter, are 6 centimeters long.

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AbeNeedsAnswers: Master | Next Rank: 500 Posts; Posts: 394; Joined: Sun Jul 02, 2017 10:59 amFollowed by: 5 members; Thanked: 1 times

by AbeNeedsAnswers » Tue May 19, 2020 7:07 pm

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The sides of a square region, measured to the nearest centimeter, are 6 centimeters long. The least possible value of the actual area of the square region is

A. 36.00 sq cm
B. 35.00 sq cm
C. 33.75 sq cm
D. 30.25 sq cm
E. 25.00 sq cm

D

Source: Beat The GMAT — Problem Solving | Tue May 19, 2020 7:07 pm

deloitte247: Legendary Member; Posts: 2214; Joined: Fri Mar 02, 2018 2:22 pmFollowed by: 5 members

Re: OG: The sides of a square region, measured to the nearest centimeter, are 6 centimeters long.

by deloitte247 » Fri May 22, 2020 4:42 am

A square has 4 equal sides, given that the sides are measured to the nearest centimeters as 6cm
Let 1 side = x
$$5.5cm\le x\le6.4cm$$
This means the length of a side of the square can be any value between 5.5cm and 6.4cm because any value in this range can be rounded to 6.0cm as the nearest

The least possible value of the actual area
= minimum length * minimum breadth
= 5.5cm * 5.5cm
$$30.25cm^2$$

Answer = D

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Re: OG: The sides of a square region, measured to the nearest centimeter, are 6 centimeters long.

by Scott@TargetTestPrep » Sun May 24, 2020 6:03 am

AbeNeedsAnswers wrote: ↑
Tue May 19, 2020 7:07 pm
The sides of a square region, measured to the nearest centimeter, are 6 centimeters long. The least possible value of the actual area of the square region is

A. 36.00 sq cm
B. 35.00 sq cm
C. 33.75 sq cm
D. 30.25 sq cm
E. 25.00 sq cm

D

The least side length of the square is 5.5 cm long (notice that 5.5 cm can be rounded to 6 cm when rounded to the nearest centimeter), so the least possible value of the area of the square is 5.5^2 = 30.25 sq cm.

Answer: D

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