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.

Nayan said:   1 decade ago
Thnks nakul.

Sri said:   1 decade ago
@Ayoosh good explanation.

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

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

Ankit said:   1 decade ago
Thanks prajwal.

Sana said:   1 decade ago
hey golu..
we have two options for the value of 'x' :
x=97 or x=3;
97 is not chosen as value of 'x' because the width of the rectangular park is only 40 m.
and only the value 'x=3' is less than 40 m.
so, 'x=97' is not possible at all.

Amrut said:   1 decade ago
thnks ayoosh & nakul

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

Manish said:   1 decade ago
Thanks ayoosh.

Raji said:   1 decade ago
@Aysooh superb yar


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