Aptitude - Area - Discussion

Discussion Forum : Area - General Questions (Q.No. 5)
5.
A rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn. If the area of the lawn is 2109 sq. m, then what is the width of the road?
2.91 m
3 m
5.82 m
None of these
Answer: Option
Explanation:

Area of the park = (60 x 40) m2 = 2400 m2.

Area of the lawn = 2109 m2.

Area of the crossroads = (2400 - 2109) m2 = 291 m2.

Let the width of the road be x metres. Then,

60x + 40x - x2 = 291

x2 - 100x + 291 = 0

(x - 97)(x - 3) = 0

x = 3.

Video Explanation: https://youtu.be/R3CtrAKGxkc

Discussion:
75 comments Page 6 of 8.

Vijeta said:   8 years ago
Nice explanation. Thank you all.

Golu said:   1 decade ago
Why 97 was not taken as answer?

Peter said:   1 decade ago
@Rkbm your answer best answer.

Shreya said:   1 decade ago
My doubt is

60x+40x-x2=291?.

Ammu said:   9 years ago
Thanks for the explanation.

ARAVIND said:   9 years ago
Great explanation @Ayoosh.

Ammu said:   2 years ago
Thank you for explaining.
(3)

Sri said:   1 decade ago
@Ayoosh good explanation.

Amrut said:   1 decade ago
thnks ayoosh & nakul

Sk Rahad Mannan said:   7 years ago
Thanks @Ayoosh, @Tanya.
(2)


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