Let the shorter piece be x feet. Then the longer piece is 4x feet. Their total length is 300 feet. Solving 5x equals 300 gives x equal to 60. Therefore, the two pieces are 60 feet and 240 feet.
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?
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Assume the shorter piece of the fence is x feet long. Since the longer piece is four times the shorter piece, its length becomes 4x feet. The total length of the fence is 300 feet, so we form the equation x plus 4x equals 300. This simplifies to 5x equals 300. Dividing both sides by 5 gives x equal to 60. Therefore, the shorter piece is 60 feet long and the longer piece is 240 feet long.
For more NCERT Solutions for Class 9 Maths Ganita Manjari Chapter 2 Introduction to Linear Polynomials (2026-27):
https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-2/