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 8 of 8.

Rkbm said:   1 decade ago
X be the width. (60-x) (40-x) is area of remaining field.

Shruti said:   1 decade ago
Thank you ayoosh.

Manogaram said:   1 decade ago
Hats off to ayoosh and prajwal for nice explanation.

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

Aaru said:   1 decade ago
Ayoosh your explaination is nice. I understood well now,


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