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
[spoiler]OA=D[/spoiler]
Source: Official Guide
The sides of a square region, measured to the nearest centimeter, are 6 centimeters long. The least possible value of
This topic has expert replies

 Legendary Member
 Posts: 563
 Joined: 01 Mar 2018
 Followed by:1 members
Timer
00:00
Your Answer
A
B
C
D
E
Global Stats

 Legendary Member
 Posts: 1846
 Joined: 02 Mar 2018
 Followed by:3 members
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
Therefore, the least possible value of the actual area = minimum length * minimum breadth
= 5.5cm * 5.5cm
$$=30.25\ cm^2$$
$$Answer\ =\ D$$
$$Let\ 1\ side=x$$
$$5.5cm\ \le x\le6.4cm$$
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
Therefore, the least possible value of the actual area = minimum length * minimum breadth
= 5.5cm * 5.5cm
$$=30.25\ cm^2$$
$$Answer\ =\ D$$
GMAT/MBA Expert
 Scott@TargetTestPrep
 GMAT Instructor
 Posts: 5170
 Joined: 25 Apr 2015
 Location: Los Angeles, CA
 Thanked: 43 times
 Followed by:23 members
Gmat_mission wrote: ↑Wed Jun 24, 2020 7:26 amThe 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
[spoiler]OA=D[/spoiler]
Source: Official Guide
Solution:
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
Scott WoodburyStewart
Founder and CEO
scott@targettestprep.com
See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews