Ramu and his three brothers owned an agricultural land of quadrilateral shape. They fenced its boundary with a thick metallic wire. Later on, they divided the land in 4 parts by fixing a thin wire along its diagonals. Which of the two wires (thick or thin) was of larger length and why?



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The thick wire was of larger length.
As we know that diagonal divides the quadrilateral into two triangle, and in a triangle the sum of two sides is always greater than the third side.
So the sum of four sides of quadrilateral is greater than the sum of its two diagonals.