What is the approximate minimum length of a rope required to enclose an area of 154 square meters?

This topic has expert replies
Junior | Next Rank: 30 Posts
Posts: 11
Joined: 21 Jul 2020

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

What is the approximate minimum length of a rope required to enclose an area of 154 square meters?

A 154
B 60
C 57
D 50
E 44

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 3007
Joined: 22 Aug 2016
Location: Grand Central / New York
Thanked: 470 times
Followed by:32 members
sambati wrote:
Tue Aug 04, 2020 1:56 pm
What is the approximate minimum length of a rope required to enclose an area of 154 square meters?

A 154
B 60
C 57
D 50
E 44
For the given area 154 sq. mtr, to get the approximate minimum length of the rope required to enclose the area, the plane must be a circle.

So, we have

Area of circle = πr^2 = 154

So, r = 7 mtr

So, the circumference of the circle = 2πr = 2*22/7*7 = 44 sq. mtr.

Correct answer: E

Hope this helps!

-Jay
_________________
Manhattan Review GMAT Prep

Locations: GMAT Prep Phoenix | GRE Prep West Palm Beach | GMAT Prep Asia | SAT Prep St. Louis | and many more...

Schedule your free consultation with an experienced GMAT Prep Advisor! Click here.