Q. 264.2( 80 Votes )

A man wants to cu

Answer :

Let us assume the length of the shortest piece be x cm

According to the question, length of the second piece = (x + 3) cm


And, length of third piece = 2x cm


As all the three lengths are to be cut from a single piece of board having a length of 91 cm


x + (x + 3) + 2x ≤ 91 cm


= 4x + 3 ≤ 91


= 4x ≤ 88



= x ≤ 22 …(i)


Also, it is given in the question that, the third piece is at least 5 cm longer than the second piece


2x ≥ (x+3) + 5


2x ≥ x + 8


x ≥ 8 …(ii)


Thus, from equation (i) and (ii) we have:


8 ≤ x ≥ 22


Hence, it is clear that the length of the shortest board is greater than or equal to 8 cm and less than or equal to 22 cm

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