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Ex 2.2, 6 A farmer cuts a 300 feet fence into two pieces of different sizes. The longer piece is four times as long as the shorter piece. How long are the two pieces? Let Length of smaller piece = x Given that longer piece is four times as long as the shorter piece So, we can write Length of longer piece = 4 × Length of smaller piece = 4x Since farmer cuts a 300 feet fence into two pieces of different sizes So, length of smaller and longer piece combined is 300 feet Thus Length of smaller piece + Length of longer piece = 300 x + 4x = 300 5x = 300 x = 300/5 x = 60 Thus, Length of smaller piece = x = 60 feet Length of bigger piece = 4x = 4 × 60 = 240 feet

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Davneet Singh

Davneet Singh is an IIT Kanpur graduate and has been teaching for 16+ years. At Teachoo, he breaks down Maths, Science and Computer Science into simple steps so students understand concepts deeply and score with confidence.

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