Answer :

Let the length of cloth be ‘a’ m.


Given, piece of cloth costs Rs. 35 and if the piece were 4 m longer and each metre costs Rs. 1 less, the cost remains unchanged.


Cost of 1m of cloth = 35/a



(a + 4)(35 – a) = 35a


35a + 140 – a2 – 4a = 35a


a2 + 4a – 140 = 0


a2 + 14a – 10a – 140 = 0


a(a + 14) – 10(a + 14) = 0


(a – 10)(a + 14) = 0


a = 10 m


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