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 5 of 8.

Sai said:   1 decade ago
What is the need of 60x + 40X -pow (x, 2) ?

Sujay ramesh said:   1 decade ago
Thanks ayoosh. Your explanation is good :).

Shivangi goel said:   7 years ago
How this quadratic equation is formed in x?

Torikul said:   8 years ago
Thanks for your good explanation @Priyanka.

Salman said:   8 years ago
Thanks to all for giving the explanation.

Koushik said:   1 decade ago
Excellent Ayoosh. Thank you very much.

Praveen said:   1 decade ago
Thanks ayoosh very nice explanation.

Ganesh Kumar said:   2 years ago
Why - x^2? can anyone explain this?
(5)

Aayushi said:   9 years ago
Where is 291?

How to solve this?

Savita said:   9 years ago
Thanks @Priyanka for the answer.


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