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CBSE Class 8 Answered

Length and breadth of a rectangle are in the ratio 5:3. By what fraction should the length be decreased to make a new rectangle of length and breadth in the ratio 7:6
Asked by Nimmi | 23 Jan, 2019, 09:15: PM
answered-by-expert Expert Answer
Let the length and breadth of a rectangle be 5x and 3x respectively.
Suppose the length be decreased by a fractiona over b
And the new ratio obtained is 7:6
rightwards double arrow fraction numerator 5 x minus begin display style a over b end style over denominator 3 x end fraction equals 7 over 6 rightwards double arrow 5 x minus a over b equals fraction numerator 3 cross times 7 x over denominator 6 end fraction equals fraction numerator 7 x over denominator 2 end fraction rightwards double arrow a over b equals 5 x minus fraction numerator 7 x over denominator 2 end fraction rightwards double arrow a over b equals fraction numerator 3 x over denominator 2 end fraction S i n c e comma space t h e space l e n g t h space i s space 5 x S o comma space t h e space f r a c t i o n space w i l l space b e space 3 over 10 space o f space 5 x
Thus, the length should be decreased by a fraction of 3 over 10
Answered by Yasmeen Khan | 24 Jan, 2019, 02:32: PM

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