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Mathematics

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?

Polynomials

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Answer

Let the length of the shorter piece be x feet.

Then, the length of the longer piece = 4x feet.

Total length of the fence = 300 feet.

So,

x + 4x = 300

⇒ 5x = 300

⇒ x = 3005\dfrac{300}{5}

⇒ x = 60

So,

Length of the shorter piece = 60 feet

Length of the longer piece = 4 × 60 = 240 feet

Hence, the two pieces are 60 feet and 240 feet long.

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