A hall-room 39 m 10 cm long and 35 m 70 cm broad is to be paved with equal square tiles. find the number of tiles required so that the tiles exactly fit
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length of room is:
39 m 10 cm = 39*100 + 10 = 3910 cm
width of the room is:
35 m 70 cm = 35*100 + 70 = 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.
39 m 10 cm = 39*100 + 10 = 3910 cm
width of the room is:
35 m 70 cm = 35*100 + 70 = 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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Answer: 483 is the minimum number of tiles required.
Step-by-step explanation:
Length = 3910 cm
Breadth = 3570 cm
Area = 1,39,58,700 cm
Side of square tile = HCF of 3910 and 3570 = 170 cm
Area of 1 square tile = 170* 170 = 28900 cm
No of square tiles = Area of hall / Area of 1 square tile = 1,39,58,700 cm / 28900 cm = 483 tiles
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