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6. The length, the breadth and the height of a room are 425 cm, 375 cm and325 cm respectively. What is the lengthof the longest tape which can measurethe length, the breadth and the heightof the room exactly?STEP BY STEP EXPLANATION PLEASE |
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Answer» the length of the longest tape which can measure the three dimensions of the room, we need to find the H.C.F of length, breadth and HEIGHT of the room respectively.Length of the room = 425 cmBreadth of the room = 375 cmHeight of the room = 325 cmLet us factorize all three GIVEN dimensions.425 = 1, 5, 17, 25, 85, 425375 = 1, 3, 5, 15, 25, 75, 125, 375325 = 1, 5, 13, 25, 65, 325So, H.C.F =25H.C.F = 25 cmTherefore, we need 25 CM the longest tape to measure the three dimensions of the room. |
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