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A man wants to cut three lengths from a single piece of board of length 91 cm. The second side is to be 3 cm longer than the shorter side and the third length is to be twice as long as the shortest side, what are the possible length of shortest board if the third piece is to be at least 5 cm longer than second side?
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A man wants to cut three lengths from a single piece of board of lengt...
Let the length of the shortest piece, The length of the second price is (x+3)(x+3)cm. The length of the third piece is 2x cm, Total length of the three pieces must be ≤91cmxcm+(x+3)cm+2xcm≤91cmxcm+(x+3)cm+2xcm=>4x+3≤91=>4x+3≤91Subtracting 3 from number 4 on both sides,x≤22x≤22----(1)Step 2:Also third piece is at least 5 cm longer than the second piece. therefore2x≥(x+3)+52x≥(x+3)+5=>2x≥x+8=>2x≥x+8Subtracting x from both sides,2x−x≥82x−x≥8x≥8x≥8 -----(2)Step 3:From (1) and (2)8≤x≤228≤x≤22The possible length of the shortest side must be greater than or equal to 8 cm and less than or equal to 22 cm.
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A man wants to cut three lengths from a single piece of board of lengt...
All units are taken in cm
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A man wants to cut three lengths from a single piece of board of length 91 cm. The second side is to be 3 cm longer than the shorter side and the third length is to be twice as long as the shortest side, what are the possible length of shortest board if the third piece is to be at least 5 cm longer than second side?
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A man wants to cut three lengths from a single piece of board of length 91 cm. The second side is to be 3 cm longer than the shorter side and the third length is to be twice as long as the shortest side, what are the possible length of shortest board if the third piece is to be at least 5 cm longer than second side? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about A man wants to cut three lengths from a single piece of board of length 91 cm. The second side is to be 3 cm longer than the shorter side and the third length is to be twice as long as the shortest side, what are the possible length of shortest board if the third piece is to be at least 5 cm longer than second side? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man wants to cut three lengths from a single piece of board of length 91 cm. The second side is to be 3 cm longer than the shorter side and the third length is to be twice as long as the shortest side, what are the possible length of shortest board if the third piece is to be at least 5 cm longer than second side?.
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