Please solve this question ?

Asked by Vidushi412 | 11th Aug, 2020, 10:20: PM

Expert Answer:

Question: 
A man divided his circular piece of land, measuring 1100 sq. m, between his two sons. He gave his elder son a square piece of land within the circular piece. He gave his younger son the remaining part around the square.  However, he compensated his younger for this awkward shaped  land by giving him 20% more than what he gave to his elder son. What is the length of the side of the square-piece land?
 
Solution:
 
Let the length of the side of the square-piece land be x.
 
Area of the square piece land = x2
 
As per the question, 

x2 + (x2 + 20% of x2) = 1100
 
2 straight x squared plus fraction numerator 20 straight x squared over denominator 100 end fraction equals 1100
2 straight x squared plus straight x squared over 5 equals 1100
11 straight x squared equals 5500
straight x squared equals 500
straight x equals 10 square root of 5 space straight m
Hence comma space length space of space the space side space of space the space square minus piece space land space is space 10 square root of 5 space straight m.

Answered by Renu Varma | 12th Aug, 2020, 11:35: AM

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