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 4 of 8.

Lekshmi said:   1 decade ago
Same doubt as sai said above,

60x + 40x - x2 = 291?

60x+40x?

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

Sekhar said:   7 years ago
60x+40x-291 = x*x.

Then what about 291?

Can you explain?
(2)

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

Abhi said:   1 decade ago
Ayoosh explaination really helped me. Thanks Ayoosh :)

Vijay said:   7 years ago
@Ankanna.

Your explanation really helped me. Thanks.

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

Himanshu said:   7 years ago
Why only square of width is taken and not length?
(1)

Sly said:   7 years ago
Thanks all for explaining the answer in detail.
(1)

Pratiti Das said:   9 years ago
How come two concentric roads have 60x + 40x?


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