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A farmer wishes to start a 100 sq. m. rectangular vegetable garden. Since he has only 30-meter barbed wire, he fences three sides of the garden letting his house compound wall act as the fourth side…

Question and options

A farmer wishes to start a 100 sq. m. rectangular vegetable garden. Since he has only 30-meter barbed wire, he fences three sides of the garden letting his house compound wall act as the fourth side fencing. Then find the dimension of the garden.
  1. 10 m × 5 m
  2. 15 m × 5 m
  3. 20 m × 5 m
  4. 25 m × 5 m

Answer and explanation

Correct answer: C - 20 m × 5 m
Three sides fenced: length + 2 x breadth = 30 and length x breadth = 100. 20 x 5 gives 20 + 5 + 5 = 30 and area 100. Other options fail the area or fence length.

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