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ICSE Class 8 Answered

Length and breadth of a rectangular park is in ratio 5:2 a  2.5 metre path moves around outside of the park has an area of  305 metre^2 .Find the dimensions of the park
Asked by tkuldeep331 | 24 Oct, 2018, 10:53: PM
answered-by-expert Expert Answer
 

According to the condition in the question,

Area = length × breadth = 5x × 2x = 10x2  

Length including path is (5x + 2.5 + 2.5)m = (5x + 5)m and

breadth including path is (2x + 2.5 + 2.5)m = (2x + 5)m

Area of the Park = [(5x + 5)(2x + 5) - 10x2 ] = (35x + 25)m2 

Therefore 35x + 25 = 305

x = 8

Therefore the length of the park = 5x = 40m and breadth = 2x = 16m


Answered by Yasmeen Khan | 25 Oct, 2018, 11:20: AM

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