A rectangular hall 39 m 10cm long and 35 m 70 cm broad is to be paved with square tiles. find the largest tile which will exactly fit and the number required.
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We convert the measurements to cm
Length = 39 m 10cm = 3910 cm
Width = 35 m 70 cm = 3570 cm
To get the length of the sides of the square tile, we find the Greatest Common Divisor of 3910 and 3570
The GCD of 3910 and 3570 = 170
Area of the hall = 3910 x 3570 = 13958700 cm2
Area of one square tile = 170 x 170 = 28900 cm2
The number of tiles = 13958700/28900
= 483 tiles
Length = 39 m 10cm = 3910 cm
Width = 35 m 70 cm = 3570 cm
To get the length of the sides of the square tile, we find the Greatest Common Divisor of 3910 and 3570
The GCD of 3910 and 3570 = 170
Area of the hall = 3910 x 3570 = 13958700 cm2
Area of one square tile = 170 x 170 = 28900 cm2
The number of tiles = 13958700/28900
= 483 tiles
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4
Answer:
Step-by-step explanation:
We convert the measurements to cm
Length = 39 m 10cm = 3910 cm
Width = 35 m 70 cm = 3570 cm
To get the length of the sides of the square tile, we find the Greatest Common Divisor of 3910 and 3570
The GCD of 3910 and 3570 = 170
Area of the hall = 3910 x 3570 = 13958700 cm2
Area of one square tile = 170 x 170 = 28900 cm2
The number of tiles = 13958700/28900
= 483 tiles
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