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A hall room 3910 m by 3570 m is to be paved with equalsq. tiles. Find the side of the largest tile which will exactlyfit and number of such tiles required?la 402 |
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Answer» Length of room is: = 3910 cmwidth of the room is: = 3570 cm Now we can factor the distances (length and width): 3910 = 2 ∙ 5 ∙ 17 ∙ 23 3570 = 2 ∙ 3 ∙ 5 ∙ 7 ∙ 17 GCF of the length and width is: GCF(3910, 3570) = 2 ∙ 5 ∙ 17 = 170 cm Hence, the side of the tile is equal to 170cm, so the area of one tile is Stile = (170cm) 2 = 28900 cm2 . The area of the room: Sroom = 3910 ∙ 3570 = 13958700 cm2 Number of tiles: N = Sroom Stile = 13958700 28900 = 483 tiles Answer: side of the tile is 170 cm, number of tiles: 483. |
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